Get a quick start by scrolling down to the introduction below this menu table.
Basic Electronics  Course Table
You are at the best, free online "Basic Electronics Course". Just read the brief blocks of text, view the videos, and check out some of the screened internet links. This is the easiest, fastest way to learn basic electronics. No signup requirements and it is free. The menu table above provides easy access to many interesting electronics topics. Print the menu table so you can check off the items as you study them and track your progress. You can enhance, expand and speed your learning by purchasing some of the book selections mentioned below. Take your time and enjoy.
Everyone today is exposed to electronic devices in one way or another. The computer revolution is a good example. Everyone can benefit from additional knowledge of electronics. Even a quick scanning of this page will help. A study of electronics starts with electricity, magnetism and basic electronics. This includes Ohm's law and other basic principles of electricity. Obtain and study various books on electronics  this is really a must as each author will explain things in a little different way to help you grasp the concepts.
All the internet links to other web sites found on 101science.com were screened to provide you with the BEST the internet has to offer on each subject. This will save you many hours of searching for good educational material. This site is for everyone from the beginner to expert electrical engineering professional. There is something here for every level of expertise in the world of electronics. If you just need information on one specific area, use the table above to navigate to the information you need. If you need more instruction  read on.
Maybe you already know some basic electronics and want to test yourself to see exactly how much you do know.
ELECTRICITY AND MAGNETISM BASICS  It all starts with the electrons moving around atoms. Electricity is the movement of electrical charge from one place to another. Electric charges do not exist without their associated electric and magnetic fields. This module will introduce you to many of the basic concepts involved with electricity and magnetism.
MATTER  Matter is physically everything that exists that we can touch and feel. Matter consists of atoms. Now we will introduce you to the structure of atoms, talk about electrons and static charge, moving charges, voltage, resistance, and current. You will learn about the properties of magnets and how magnets are used to produce electric current and vice versa. All matter can be classified as being either a pure substance or a mixture. Matter can exist as either a solid, liquid, or a gas and can change among these three states of matter. In electronics the most important matter are conductive metals, nonconductive insulators, and semiconductors. (Yes, all this is a simplification on purpose to keep the subject easier to grasp. We will leave deeper thoughts to the study of nuclear physics.)
ELECTRICAL CHARGE  Any object or particle is or can become electrically charged. Nobody completely understands what this charge consists of but we do know a lot about how it reacts and behaves. The smallest known charge of electricity is the charge associated with an electron. This charge has been called a "negative" charge. An atoms nucleus has a positive charge. These two unlike charges attract one another. Like charges oppose one another. If you had 6,250,000,000,000,000,000 electrons in a box you would have what has been named; one coulomb of charge. An easier way of thinking about a large number like that is called "powers of ten" and it would look like this 6.25 x 10^^{18} electrons. It is simply a way to let you know to move the decimal point to the right 18 places. When electrical charges are at rest, meaning they are not moving, we call that static electricity. If charges are in motion we then have a flow of charge called electrical current. We have given the force that causes this current a name called "electromotive force" and it is measured by a unit called a volt (V). The unit of measurement of the current (I) or movement of the charge is called an ampere. The resistance, or opposition, to current flow is called an ohm (R).
Explanation of AC and DC currents. Watch the video.
ELECTRICAL FIELDS Around every charge is an electric field. With every electric field there is a magnetic field. While we can't see these fields, or yet know exactly what they consist of, we can measure them with instruments and tell a great deal about their behavior. We can then use this knowledge to our benefit. The design and construction of electric motors, computers, radios, televisions, stereos, and many other electrical and electronic devices depend upon a knowledge of these basic principles of electricity. As you can see we have given names to these phenomenon to make it easier for us to study and use. We could have called them Dick, Jane and Mary but instead we named them for the scientists that discovered or first studied them; Volt, Ampere, and Ohm. Mr. Volt, Mr. Ampere, and Mr. Ohm spent many years of their gifted lives studying electricity. They were not alone however as many other scientist were studying and learning more about electricity as well.
WATTS  POWER  What is a watt? A watt is the International System unit of power equal to one joule per second. A joule is a unit of electrical energy equal to the work done when a current of one ampere passes through a resistance of one ohm for one second. The symbol used for a watt is "P" for power. Power in watts is found by multiplying a circuits current (I) times its voltage (V). You will learn more about power in watts in the ohms law section below.
P  I*V
If you don't have a clue as to what electrical current and voltage are  read on. We will cover that shortly.Moving electric charges are the heart of basic electronics. Knowing what moving charges are and how various electronic components affect the moving charges is the foundation of basic electronics. View the videos and continue on down the page. These are the basic building blocks of understanding "Basic Electronics".
DC Theory Part 1  DC Theory part 2
 . 
Now that you have a general background in electricity and moving charges you can move on to learning more about basic electronics. Electronics puts a knowledge of electricity to useful work. Electronics applies electrical current flow of electrical charges to circuits to accomplish specific tasks. Amplifiers can be constructed from glass "tubes" containing metal elements, or more commonly today with solid state diodes, transistors, or integrated circuits. An amplifier is simply a device or circuit that takes a small signal input and controls a larger current as it output. The input signal voltage is small and the output voltage is larger  amplified. A circuit containing wire conductors, resistors, capacitors, inductors and amplifiers can be configured in many ways to build various electronic circuits like oscillators, digital logic circuits, computer circuits, television and video circuits and much more. An oscillator by the way is just an amplifier with some of the output fed back into the input. Sounds like a perpetual motion machine but it isn't as the amplifiers power supply is providing the additional energy that is lost in the circuit and keeps the circulation, i.e. oscillations going.
Basic electronics is all about electrical components and the circuits consisting of those components . Common components are resistors, capacitors, inductors, transistors, and integrated circuits. You will find each of these components described in detail in the following numbered sections. The components are interconnect with conductors, either physical wires or printed circuits. The components make up linear analog amplifiers, oscillators, and filters as examples. They also can be configured to create digital logic circuits such as memories, gates, arithmetic units, and central processing units. So you will find basic electronics in every computer, mp3 player, radio, TV and may other appliances in your home, car, or on your body. Each circuit has a job. Components are interconnected to perform a specific task. First learn about each individual component and how it works then learn about how to interconnect them to make useful end products. Continue your study by reading the numbered sections to follow.
Get the Malvino books below if you need an easy to read but excellent book to learn electronics as a technician.
Instructor's Manual for Malvino...
Experiments for Electronic Principles...
More book recommendations. Get the "Art of Electronics" book (2d book) below if you want a more thorough and detailed way to learn electronics and for moving on to engineering. The Grob basic electronics textbook is a great book and available less expensively.
There is another (and less expensive and practical) method of learning basic electronics.
It is handson by doing simple projects.
Get the MAKE: Electronics (Learn By Discovery) book below.
You will also need some electronic parts available from Radio Shack or a good junk box.
 . 
4. RESISTANCE 
RESISTORS AND RESISTOR CIRCUITS  Resistance is the opposition to current flow in various degrees. The practical unit of resistance is called the ohm. A resistor on one ohm is physically very large but provides only a small resistance to current flow. A resistor of one million ohm's is physically small but presents a high resistance to current flow. A resistance that develops 0.24 calorie of heat when one ampere of current flows through it for one second has one ohm of resistance. The unit of resistance is often represented by the Greek letter omega. Resistors are often made of thin layers of carbon or lengths of small copper wire. They can also be thin deposited layers of metallic material. An image of a few resistor types is shown below.
What is electrical current? Electrical current, represented by the letter "I" in formulas, and it is the flow or rate of electric charge. This flowing electric charge is typically carried by moving electrons in a metallic conductor or electronic components such as resistors or transistors as an example. The unit of electrical current is the ampere, named after a french mathematician, Andre Marie Ampere. What is electrical voltage? Electrical voltage is represented by the letter "V" in formulas and it is the electrical pressure a moving charge is under. In the case of a static charge, one that is not moving, then voltage is the potential difference or pressure of the charge. The relationship between current (I), resistance (R), and voltage (V) is represented by the formulas developed in Ohm's law. We will study that in section 5 below.
RESISTORS AND RESISTOR CIRCUITS
Resistors can be connected in series (end to end), or in parallel (across one another), or in a combination of series and parallel. If you connect two, 1/4 watt, 100 ohm resistors across one another (i.e. in parallel) then the total resistance in ohms is one half of one of the resistors. In this example the resistance would be 50 ohms. The wattage doubles as the current is now split between the two resistors. The combination can now handle up to one half a watt safely. If the two resistors were connected endtoend (i.e. in series) the resistances add and in this case would be 200 ohms. The wattage in this series case stays the same, 1/4 watt. This information is handy to know as it is easy to calculate in your head and will allow you to devise additional resister values from a limited resistor bench stock.
RESISTORS IN SERIES: Connecting resistors in a string one pigtail to another is called connecting them in series. When connected this way the resistance of one resistor adds to the next in line. For example a 100 ohm resistor in series with a 500 ohm resistor is the same as having a 600 ohm resistor. The wattage capability stays the same, in other words if the resistors are all 1/4 watt the string is 1/4 watt.
Resistance in series resistance simply adds: R = R1 + R2. This can be extended for more resistors: R = R1 + R2 + R3 + R4 + ...
RESISTORS IN PARALLEL: When resistors are connected in parallel (parallel; meaning they are tied across one another) their combined resistance is less than any of the individual resistances. There is a special equation for the combined resistance of two resistors R1 and R2:
Combined resistance of
two resistors in parallel:R =
R1 × R2
R1 + R2
For more than two resistors connected in parallel a more difficult equation must be used. This adds up the reciprocal ("one over") of each resistance to give the reciprocal of the combined resistance, R:
1
=
1
+
1
+
1
+ ...
R
R1
R2
R3
The simpler equation for two resistors in parallel is much easier to use!
Note that the combined resistance in parallel will always be less than any of the individual resistances.
Resistor values are measured in ohms. A thousand ohms is written as 1k to eliminate all the zeros. The k represents three zeros. A million ohms is represented by 1M. Therefore; 1000 ohms = 1k ohm and 1000k ohms = 1M ohm. Since resistors are so small their value is marked by a color code.
The third video above on the right shows how to read resistor color codes.
RESISTOR COLOR CODES  Resistors use color coded stripes to indicate their value in ohms. 0=Black, 1=Brown, 2=Red, 3=Orange, 4=Yellow, 5=Green, 6=Blue, 7=Purple, 8=Gray, 9=White.

Links to other interesting web site about resistors. Resistor
Color code calculators: 
5. OHMS LAW
Ohm's Law is extremely important in learning basic electronics.
What is Ohm's Law? Ohm's Law is a formula that describes the relationship between resistance, current and voltage in an electrical circuit. The formula is R (resistance in ohms) = (equals) V (voltage in volts) divided by I (current in amperes).
That is: R = V ÷ I
...and algebraic rules tells us that I  V ÷ R and V = I*R.
I = V ÷ R, V = I*R, R = V ÷ I, and P (power in watts) = I*V are the fundamental formulas of Ohm's law. (The * means to multiply the two quantities together). Where V is the circuit voltage in volts, I is the circuits amperage in amps, and R is the resistance in ohms.
Almost every electrical and electronic circuit involves resistance, current and voltage. This is why it is vital you understand the relationships between them.
As an experiment you can set up a circuit by connecting resistors in series with a battery, measure the voltage across the resistors with a voltmeter, measure the current in the circuit by placing an ammeter in series with the resistors and the battery. If you know the voltages and current in the circuit you can use Ohms law to calculate the resistance. With the resistor out of the circuit you can measure it's resistance directly with an ohm meter. The multimeters today can measure ohms, volts and amperes (usually measured in milliamperes in practical circuits) all in one piece of test equipment.
Below is a graphic chart showing the various relationships between resistance, current, voltage, and power and shows how one unknown can be calculated if you know the other two.
_._
Unequal Resistive Power Divider Calculator  Online
http://www.flambda.com/php/unequal/unequal.php
Links to other interesting web site about Ohm's law. Voltage,
Amperage, Resistance, Power Equation Calculator: http://www.opamplabs.com/eirp.htm 
6. CAPACITORS 
A capacitor is a device that stores an electrical charge when a potential difference (voltage) exists between two conductors which are usually two plates separated by a dielectric material (an insulating material like air, paper, or special chemicals between two sheets of aluminum foil). Capacitors block DC voltages and pass AC voltages. They are used as filters, AC coupling capacitors and as bypass capacitors. They are also used in conjunction with resistors and inductors to form tuned circuits and timing circuits. A capacitors value C (in Farads) is dependent upon the ratio of the charge Q (in Coulombs) divided by the V (in volts). Common capacitors come in values of microfarads or Pico farads. Often you will have to convert between Pico farads and micro farads. A chart is provided below to assist in the conversion. For a list of capacitor terms defined: Click HERE. Measuring capacitance requires a capacitance meter. This is separate piece of test equipment. There are attachments for multimeters that allow measurement of capacitance directly. Also read this tutorial on how to test capacitors.
CAPACITOR Value Conversions:
Some capacitors may be marked in micro farads and others of the same capacitance value marked in Pico farads. One Pico farad equals one micromicro farad. You may need to make conversions between the two equivalents.
Prefix
Power of 10
Example
Mili
10^3
.001
Micro
10^6
.000001
Nano
10^9
.000000001
Pico
10^12
.000000000001
1 micro F = 1000000 uuf 1 uuf = 1 pf .01 uf = 10000 pf .005 uf = 5000 pf .009 uf = 9000 pf .0001 uf = 100 pf .0005 uf = 500 pf .0009 uf = 900 pf A capacitor marked 104M is a .001 uf + 20%
A capacitor marked 103M is a .01 uf + 20%
A capacitor marked 102M is a .1 uf + 20%
Capacitance and capacitors  watch the video.
Links to other interesting web sites about capacitors. CAPACITOR INFORMATION Calculating
capacitor combined value when in series or parallel: CAPACITOR CIRCUITS AC
capacitor circuits  Chapter 4: REACTANCE AND IMPEDANCE 
MORE GREAT BASIC ELECTRONICS VIDEOS
7. INDUCTORS 
Inductors are usually made with coils of wire. The wire coils are wound around iron cores, ferrite cores, or other materials except in the case of an air core inductor where there is no core other than air. The inductor stores electrical charge in magnetic fields. When the magnetic field collapses it induces an electrical charge back into the wire. Inductors are associated with circuit capacitance and can form a tuned circuit and resonate at a particular frequency. Two coils close to one another, as they are in a transformer, literally transfer charge from one coil to the other. This is called mutual inductance.
Inductor Calculators:
Inductor Calculator
Shavano Music Online  CrossOver Network; Air Core Inductor
Jim Hawkins' Java Radio Calculators
Inductor Calculator
RF Cafe  Inductor Calculator Spreadsheet
DC Choke Design Calculator
The educational encyclopedia, datasheets
Circuit Sage: Inductor Tools and Links
The Engineers' Club Online Service  Engineering CalculatorsFERRITE CORE TOROIDS  a special type of inductor
Today you must learn about powdered iron cores and ferrite materials for winding your own toroidal coils. Click here for basic background information on powdered iron and ferrite materials. You will need to know the formulas for calculating toroidal core inductors; click HERE for FORMULAS. The cores will be made from different materials. You will also need information on powdered iron material. Now you have all the information you need to wind toroidal coils for your electronics projects. For core material table: https://www.amidoncorp.com/pages/specifications
To calculate the approximate inductance of a toroid, use the JAVA calculator found here: http://hyperphysics.phyastr.gsu.edu/hbase/magnetic/indtor.html#c1 Courtesy of Carl R. (Rod) Nave, Georgia State University. Be sure to visit their main site loaded with JAVA calculators and other science information at: HyperPhysics http://hyperphysics.phyastr.gsu.edu/hbase/hph.html including an offer of a CD containing of all their fine materials.
Toroid Approximate Inductance CALCULATOR  Toroid CALCULATOR
Torroid Inductance charts: http://www.electronicstutorials.com/basics/toroidcharts_mcq.htm
http://home.sandiego.edu/~ekim/otherjunk/inductor.pdf
Testing Unknown Ferrite Cores
Ferrites are roughly divided into two groups. Those with permeabilities up to 850 are usually made from nickelzinc material and have high volume resistivity ranging from 1x105 to 1x108. Higher permeability ferrites are usually made from manganesezinc material and have volume resistivity ranging from 0.1x102 to 1x102. Iron powder cores are usually color coded and have very high volume resistivity. An initial test of the material can be made by checking the dc resistance between opposite faces/sides of a core. Low readings indicate a high permeability material. If you can measure inductance at a low frequency (10100kHz), wind 10 turns of wire on the core and measure the inductance. You can then work back from the ferrite material formula and calculate the AL value, which can be compared with the tables of known cores of the same physical dimensions and so come up with a reasonable match. If 10 turns does not give a measurable reading try 20 or 30 turns.
RF power rating can be roughly checked by using two exactly similar cores each wound with the same primary and secondary turns (say 10 turns each on primary and secondary) and then connecting the cores back to back as shown. This arrangement provides a 1:1 equivalent so that the transmitter sees the correct load. Losses are doubled by using two transformers, but this does not matter for the test. Set the transmitter to the desired frequency and reduce the rf power output to a minimum. Increase the power output in small steps (say 5 10W per step) holding each setting for 30 seconds then checking the temperature of each transformer. The transformers should only get warm to touch but NEVER hot. When the final temperature of each transformer has reached about 40 degrees centigrade you can say that you have reached the power limit for that particular core. Some cores will get hot at very low power. You have to make a value judgment about the core physical size versus the power rating achieved.
Ferrite (software program) is used to calculate the number of turns required on toroidal ferrite cores to achieve the desired millihenryvalue inductance. 15 different ferrite toroids are included in this application. This program will calculate the winding data for an inductance range of 0.001 to 27 millihenries.
Style: CONSOLE , File size: 64K , zipped 31K.
Bug Fixes: Thanks to PA3CKR for the bug report ; fixed Jan 19/99.
Current Version is 1/19/99
Download the ferrite.zip file
A video on inductors.
Inductors  how they work.
Connecting Inductors
Summary of magnetisim.
Links to other interesting web site about toroids and other inductors. Useful
hints concerning winding toroid coils.

RESONANT CIRCUITS  a combination of capacitance, inductance and resistance.
Tuned circuits are found within electronic circuits where, for example, only one certain frequency is of interest. The filtering action of a tuned circuit is often associated with amplifiers as is found in a radios intermediate frequency stage. Only one frequency is amplified due to the filtering action of the tuned circuit. Tuned circuits may be designed for a very a narrow band of frequencies or with a wide bandwidth. Tuned circuits are also found in oscillators. Here the tuned circuit allows oscillations only at the tuned circuits resonant frequency in a properly designed circuit. Resonant circuits are a combination of inductance, capacitance and resistance. Please look at some of the links below for more detailed study of resonant circuits.._._
Do you need math skills to understand electronics? Yes! All science subjects including electronics (a division of physics) require various levels of understanding mathematics. If you are interested in electronics only as a hobby then general math may be all you will need, to get by. If you are serious about becoming an electronic technician then you will need at least a basic understanding of algebra and and be able to use and make graphs. Electrical engineers need advanced mathematics training through calculus.
Why, you may ask? Basic electronics involves the use of equations. For example, Ohms law requires a basic knowledge of algebra to fully understand it and to be able to use it effectively. Electronic technicians will use Ohms law and other algebraic formulas frequently in typical day's work. Some knowledge of trigonometry would be helpful. Electrical engineers need to know how to calculate various rates of change in electrical parameters in a quick and relatively simple manner. Without the appropriate skills at your level of interest you will be greatly handicapped in your work. There are substitutes for many situations such as preprinted charts, databases, cookbook circuits, and internet resources. But they may not quite serve your current purpose and will take time to research and find. It is best to obtain basic math skills to a level required by your specific work.
Learn algebra here. Learn about graphs here. Learn more about domain and range here. Learn about geometry HERE. Learn about statistics for electronics HERE Learn about trigonometry here. Learn about using MathCad for electronics problems. See our mathematics section for more math links.Scared of calculus? Scared of calculus symbols? No need to be as they are not meant to scare you. They are really very simple once you know how to think about them and know what they represent. For example, often you will see the symbol d or perhaps dx in a formula. Well, d simply means a small amount of something. So, dx simply means a small amount of whatever x represents. Don't try to multiply the two (d and x), they are not meant for that, just think of dx as a small amount of x, period. The symbol dx is called a differential. Also, you might have seen this symbol, called an integral. Now that is scary, right? No, not any more because now you know it is simply a tall skinny S. Now how can a tall skinny S scare anyone? If you think of as meaning "the sum of" (the word sum starts with an S) well, that isn't scary either. You know that 4 is the sum of 2 + 2 already. Let's say you wanted to add up all the little bits of x and determine the sum of all the dx's you have. Now putting these two symbols together,dx simply represents "the sum of", all the "little bits of x" that you have. This process is often called integration, which is simply the assembling together of a lot of little things. Integral calculus involves adding up little bits of things. A better definition might be, "the part of calculus that deals with integration and its application in the solution of differential equations and in determining areas or volumes etc." For more information and explanation of the definitions of integral and differential calculus see this page  HERE  and more HERE.
So how does calculus help us in electronics? The whole purpose of calculus is to make very difficult calculations easier. Yes, sometimes down right easy or usually at least somewhat easier. Most people think calculus is designed to make simple calculations difficult to impossible. But that is only because they really don't speak or understand calculus. It is sort of a foreign language. Learn to understand the language like we did above and calculus gets a lot easier. One example is calculating a transformer rate of change in output voltage at any one given instant. A much easier problem to solve if you use calculus. Who dreamed this calculus stuff up any way? If you want to read about the history of calculus go HERE. If you want another clear explanation of calculus read this  HERE.
Algebra
& Geometry 
Linear
Alg. & Matrices 
Trig.
& Vectors 
Logs
& Exponents 
Differential Calculus  Integral Calculus  Differential Equations  
Electronics  go to topic  go to topic  go to topic  go to topic  go to topic  go to topic  go to topic 
Definitions of electrical engineering on the Web:
See some examples of differential calculus and how it it used in electronics HERE.
Understanding CapacitanceInductance Formulas  Science Forums and Debate
A function is something whereby you can put in some variable and get a different, dependant variable out. So, if f(x)=2x3, you can put in some value, say 6, and get f(6)=2(6)3=9.
Differentiation of a function is the generation of another function for which the "yvalue" (value of the dependant variable at a given "xvalue," or independent variable) of the second is equal to the gradient, or slope, of the first.
For example, take the function y=f(x)=x^2. For any given x, there is a y that is equal to x^2. The derivative of this function happens to be f1(x)=2x, meaning that for a given point on the original curve, its slope can be represented by 2x. So, at x=4, f(x)=4^2=16, and its slope at that point, f1(x)=2(4)=8, or 8 units up for every 1 unit over.
The dy/dx means instantaneous change in y divided by instantaneous change in x. An explanation: Slope is measured by change in y divided by change in x. So between two points on a curve, the yvalue of the second minus the y value of the first, all divided by the xvalue of the second divided by the xvalue of the first, will give you the slope of the straight line between those two points, also called the secant. But we want the slope at a point, which poses some problems. How can there be any change at one point? Well, there can't, really, but what we can do is find the change between two points which are closer to one another than any finite distance. We can determine through algebra that as you make the distance between them smaller and smaller, the change in y over change in x gets closer and closer to some definite ratio, which is the "limit" as the distance between them "approaches zero." Thus, the "dy/dx" is that ratio at an infinitely small distance, thereby effectively being the slope at one point.Understanding CapacitanceInductance Formulas  Science Forums and DebateIf it's an upper case sigma then that means the sum of a sequence.
It's got everything to do with integrals. An integral is the sum of the rectangles under the curve, change in x (width) times height, the change in width approaches zero and the number of rectangles approaches infinity. Sums are where integrals come from. It's basically "the sum of all yvalues."
Understanding CapacitanceInductance Formulas  Science Forums and Debate
For AC electronics, designing circuits is easily done, using complex numbers.
Imagine a voltage source with a angular frequency ω and amplitude A, so as function of time you have V(t) = A*cos(ωt).
Now, replace this with a voltage X(t) = A*exp(ωt). Now, the real voltage can be written as the real part of X(t), being Re(X(t)) = A*cos(ωt).
Using this formalism, you can treat every passive linear component as a complex resistor Z. For lumped devices there are basically three types:
Capacitor with capacity C: Z = 1/jωC
Resistor with resistance R: Z = R
Inductor with inductance L: Z = jωL
Here the number j has the property j² = 1.
Now I'll give an example with three nodes, GND, VIN, VOUT. Between GND and VIN there is a voltage source X(t). Between VIN and VOUT there is a resistor R. Between VOUT and GND is a capacitor C. What is the output voltage as function of input voltage?
This now can be easily solved. We introduce a complex voltage XOUT and XIN.
We have a series connection of two resistors. Using basic circuitry for resistors you find
XOUT = XIN * (ZC / (ZC + ZR)), where ZC is the capacitor's complex resistance and ZR is the resistor's complex resistance.
Now XOUT = XIN *(1/jωC) / (R + (1/jωC)) = XIN / (1 + jωRC)
So, you have XOUT as function of XIN and the angular frequency ω.
The amplification as function of frequency ω can be written as 1/sqrt(1+ω²R²C²). There also is a phase shift, between input and output. That is arg(1 + jωRC). For small ω (close to DC), the phase shift is close to 0, for high ω, the phase shift is almost 90 degrees.
If you understand complex numbers, then this should be easy to grasp, otherwise it indeed will be very difficult for you to determine transfer functions of capacitive and inductive circuits.
THIS IS GREAT FREE ELECTRICAL ENGINEERING INFORMATION!
For Electrical Engineering  QuicKTime Movie  Review of PreCalculus Math 
http://www.anselm.edu/internet/physics/cbphysics/downloadsI/MathSkillsVideo.html
Great Calculus Tutorial to get you started http://www,math.hcm.edu/calculus/tutorials/substitution
Free eBook  Calculus Based Physics I
Copyright 20052008, Jeffrey W. Schnick, Creative Commons Attribution ShareAlike License 3.0. You can copy, modify, and rerelease this work under the same license provided you give attribution to the author. See http://creativecommons.org/
http://www.anselm.edu/internet/physics/cbphysics/downloadsI/cbPhysicsIa18.pdf
Free eBook  Calculus Based Physics II
http://www.anselm.edu/internet/physics/cbphysics/downloadsII.html
Electrical Engineering books preview online Google Books
Links to other interesting web site about calculus and math for electronics.
Download
Mathematics & Simulation / Mathcad from Adept Scientific ... Mathcad Resources for Electronics  Circuit Sage Home 
The following MathCad scripts accompany the book
"HighSpeed Signal Propagation: Advanced Black Magic"
These scripts may be used to simulate long transmission structures using the frequencydomain method, which for linear systems is acknowledged as the "gold standard" against which other simulation technologies are measured. These scripts provide incredible control over every parameter of simulation. They may be reprogrammed to suit almost any need. The scripts are provided in MathCad syntax, and also in the form of .pdf files in case you want to just see the equations so you can port them to another brand of mathematical spreadsheet.
Version 2001i MathCad / HighSpeed Signal Propagation modeling scripts (.zip)
Version 8 MathCad / HighSpeed Signal Propagation modeling scripts (.zip)
Version 6 MathCad / HighSpeed Signal Propagation modeling scripts (.zip)
Version 2001i HighSpeed Signal Propagation .PDF versions (.zip)
Links to other interesting web site about calculus.
Rules for limits Derivative of a constant Common derivatives Derivatives of power functions of e Trigonometric derivatives Rules for derivatives The antiderivative (Indefinite integral) Common antiderivatives Antiderivatives of power functions of e Rules for antiderivatives Definite integrals and the fundamental theorem of calculus Differential equations Calculus Reference Calculus Resources  Comprehensive!! Calculus Tutorial Calculus Explained with Pictures Calculus Aids  Reference  Solutions  Formulas Calculus Without Tears GREAT CALCULUS Java Applets for Learning Links to other interesting web site about math and electrical engineering
http://en.wikipedia.org/wiki/Transfer_function
Smith Charts and Fourier Transforms
Electrical Engineering HelpsUnderstanding Capacitance and Inductance Formulas  Science Forums and Debate
Volume Functions A Maximization Problem
Calc 101 Automatic Calculus Solutions
AP Physics & Calculus Problems of the Week From Kentridge High School
Interactive Calculus  Teachers can write Ron Larson odx@psu.edu for a free subscription.
AP Calculus from the College Board
Physics and Calculus Problems of the Week
Finite Mathematics and Applied Calculus Resource Page
Alvirne HS Problem of the Week A gold mine of current and archived problems
Visual Calculus
Dave Slomer's Calcu Page
The Rental Car Problem from CCP
Mr. Calculus
The rise of calculus For the history buffs among us
www.calculus.net
AP Calculus on the Web from Sandy Ray
First Semester Calculus The ContinuityDifferentiability Issue
The Calculus Hater's Homepage The other side heard from (poor fellow)
Karl's Calculus Tutor Lots of information
AP DistanceLearning Project
Dr. Papa's Course at Rice U. complete with exams
Integral Calc Exam from U of Pitt
Differentiation Problems from U of Pitt
Integration Problems Same Place
CalculusQuest
Learning Calculus A HowToBeSuccessful List of Tips
The MATHMAN Something about teaching Calculus to 7 year olds
Dr. Sloane's Calculus 1 and 2
I Love Calculus
A very easy way to learn the math you need is to view the various "Standard Deviants" videos. Often difficult material is presented in a fun and interesting manner. Give them a try. They are very inexpensive learning tools.
ELECTRONICS REFERENCE MATERIAL AND FORMULAS FORMULAS  EngPlanet.com Library
 Electrical Circuit Formulae 
Links to other interesting web site about "Phase Locked Loops" Circuit
Sage: Phase Locked Loop Tools and Links 
Please go to the separate TRANSISTOR page Click >> HERE
Transistors and amplification introductory  basic information. http://landau1.phys.virginia.edu/classes/241L/transist/transold.htm
NEW! Click HERE for the latest breaking Semiconductor Industry News.
Radio Calculators http://www.qsl.net/yo5ofh/data_sheets/amateur radio computer.htm
Semiconductor DATA SHEETS http://www.qsl.net/yo5ofh/data_sheets/data_sheets_page.htm
Magnetron Tutorial http://www.gallawa.com/microtech/magnetron.html
Digital electronics is based on electronic switches. A circuit is either on or off represented by the presence of a voltage or not or in some cases two different voltages. A string of on or off conditions are made to represent numbers. These are usually binary numbers but could be based on a variety of mathematical bases. For example, "Hexadecimal" or a base of 16. But the most common is binary. Any number can be represented in a binary based system with a series of ones' and zero's (voltage on/off conditions). Here is a short table of some binary numbers and their decimal equivalents. The binary numbers place values from right to left as shown in the table are; one, two, four, and eight. So, binary 1111 is the same as adding 1+2+4+8 from right to left and that equals 15. See the samples below then study the chart.
1 1 1 1 = 15 binary 1 0 0 1 = 9 binary 1 0 1 1 = 11 binary
8+4+2+1 = 15 decimal 8+0+0+1 = 9 decimal 8+0+2+1 = 11 decimal
DECIMAL= 
BINARY 
DECIMAL = 
BINARY 
0 
0000 
8 
1000 
1 
0001 
9 
1001 
2 
0010 
10 
1010 
3 
0011 
11 
1011 
4 
0100 
12 
1100 
5 
0101 
13 
1101 
6 
0110 
14 
1110 
7 
0111 
15 
1111 
For an online course on digital electronics and how binary mathematics is used in LOGIC blocks visit this web site: http://www.gamezero.com/team0/articles/math_magic/micro/comb.html
Digital Projects: http://www.eleinmec.com/category.asp?3
These basic concepts are the building blocks for more sophisticated configurations of digital electronic integrated circuits. Today digital integrated circuits combine hundreds and thousands of switches per IC package. It is not necessary to know exactly what the internal circuitry is but you must know the fundamentals to understand how to use the IC's together to build digital equipment. Our computer industry today depends upon many people knowing and using these same basic fundamentals.
The free MultiMedia Logic software is available at http://www.softronix.com/logic.html
Download the "Setup Kit".
IMPORTANT: Be sure to check out all the links in the table below. Some very good information there.
(15)TTL Logic 
(16)Eddy Currents 
Digital Electronics Online Problem  http://scienceebooks.com/electronics/digital_electronics.htmDigital Electronics & Superconductors http://www.ece.rochester.edu/~sde/cool/coollinks.html
Howstuffworks "How Electronic Gates Work"
Digital Electronics Corporation
Digital Electronics II
Digital Logic
TTL Logic
COMOS DATASHEETS
http://www.electronicslab.com/downloads/datasheets/cmos.html
TTL DATASHEETS
http://www.electronicslab.com/downloads/datasheets/ttl.html
More at http://www.electronicslab.com/downloads/index.htmlDigital Logic and Computer Systems College Course http://www.physics.mcmaster.ca/phy4d6/
McMaster University, Hamilton, Ontario, Canada.Digital electronics Book recommendation: Digital Systems,
by by Ronald J. Tocci (Author), Neal S. Widmer (Author)
Television Tutorials  Williamson Labs!
1_
2_
3_
4_
5_
6_
Color Encoding: Color Bars, Camera,
RGB, YIQ, Color Subcarrier7_
8_
Digital TV/Graphics: ADCDAC, Frame Buffers, Timebase Correction, VGA
9_
10_
EIA 1956 Video Resolution Chart for printing
http://www.bealecorner.com/trv900/respat/EIA1956.pdf
Television means "seeing at a distance". It may be described as a system for the conversion of light rays from still or moving scenes and pictures into electric signals for transmission or storage, and subsequent reconversion into visual images on a screen.
Basically the image formed by the camera lens is focused on a light sensitive material that is scanned in horizontal lines with each line following closely beneath it. The light intensity (and color) is converted into an electrical signal and transmitted over the air or through cables to a receiver. The "TV" receiver converts the electrical signals back into scan lines traced on a cathode ray tube (CRT). The fluorescent material on the face of the CRT is activated by the CRT's scanning electron beam to reform the picture.
Basic Video information HERE. http://webs.soltec.net/movpic/Video.htm
NTSC signal information: http://www.seanet.com/Users/bradford/ntscvideo.html
Free television and video articles and guides HERE. http://www.videouniversity.com/article2.htmClick HERE to view a "large list" of links related to television and video.
Electronics Tutorials  Williamson Labs!
Graphing
No matter what program you have to help you, everyone needs to understand why we produce graphs, and how to interpret them properly. Here's a basic guide, including paper to print out!
 Log Graphs  essential for Alevel candidates!
 FREE Graph Paper!  all popular metric sizes!
NEWS! Click on titles below for the latest breaking news  updated every 15 minutes."AT&T Corporation" NEWS.
"Computer Security" NEWS.
"Computer Services" NEWS.
"Consumer Electronics" NEWS.
"Digital Television" NEWS.
"Engineering" NEWS.
"Handhelds" NEWS.
"Hewlett Packard" NEWS.
"IP and Patents" NEWS
"Microsoft" NEWS
"PC Industry" NEWS
"PC Software" NEWS
"Personal Technology" NEWS
Antenna wavelength calculator
Enter operating frequency and then click the full wavelength (WL) or 1/2 or 1/4 wavelenth button. to see antenna length required.
MHz 
= ft. (or inches.) 
Free JavaScripts provided
by The JavaScript Source
Don't miss the
Electronic Engineers!
HOTSHEET _ Everything you need!
http://ee.cleversoul.com/hotsheet.html
NEW EngPlanet Electrical Engineering Technical Reference  http://www.engplanet.com/redirect.html?3804
NEW EngPlanet AWG Wire Chart  http://www.engplanet.com/redirect.html?3802
Electronic Circuit Design Page
Audio Spectrum Analyzer and Equalizer Designs http://www.ethanwiner.com/spectrum.html
Audio FiltersTheory and Practice http://www.ethanwiner.com/filters.html
FREEWARE Software: http://www.schematica.com/Fil_Xfer/Transfer.htm
Unisoft
VIEWMARKUP module (Free Download)
Printed Circuit Board assembly viewer software VIEW comes free with the
Unisoft VIEWMARKUP module. VIEWMARKUP is a fantastic tool
for anyone
involved in electronics. Unisoft VIEWMARKUP displays your PCB assembly
on
a PC and finds components, nets, pin, part numbers, shorted traces, and more
instantly. VIEWMARKUP has a schematic mode and generates process
documentation, assembly instruction sheet, etc. For more information and
to
download the free software and Tutorial Movie go to
www.unisoftcim.com/pcbview.htm or phone 8884864246
PCB
Design
Merlin PCB Designer  Shareware version 1.3 for CorelDRAW 7
http://www.geocities.com/MerliPCB/index.html
HOW TO MAKE PRINTED CIRCUITS Click>>HERE http://www.thinktink.com/stack/volumes/volvi/pcbproto.htm
PCB Board Creation  Design Software!
Eagle PCB Design Software http://www.cadsoft.de/info.htm
Eagle Lite Freeware http://www.cadsoft.de/freeware.htm
Eagle Download http://www.cadsoft.de/cgibin/download.pl?page=/home/cadsoft/html_public/download.htm.en&dir=pub/program/4.1
Eagle Getting Started Tutorial http://fab.media.mit.edu/topics/electronics/pcb/
An Eagle Board Exampleand an Eagle Schematic Example:
Links to other interesting Eagle web sites. EAGLE SUPPORTING WEBSITES CadSoft
Online: EAGLE Layout Editor  [ Translate
this page ] Other PCB Sources ExpressPCB
 Free PCB layout software  Low cost circuit boards 
EEE Library Access  Free
http://www.eeisnet.com/Library/journal_main.aspEE Software Downloads
http://www.ee4u.com/eeRnD/sdownload/sdownload_intro.aspHobby Circuits Very High Quality!
1 More Circuits
2 More Circuits
ePanorama
Larry's Robotics and CircuitsElectronics Plus  Basic electronics and projects for the hobbiest.
Electronics Learning on the Internet  very good site
New Database Listings  very complete for semiconductors
http://www.bgs.nu/sdw/a.htmlEXCELLENT! EE Theorems and Formulas http://www.bowest.com.au/library.html
Oscilloscope SOFTWARE by Matthijs Hajer
Download here: http://home.planet.nl/~m.f.hajer/scope2k.htmEngineering/Electronics Calculator Software
http://www.scienceshareware.com/indexSub.htmTechnical Data  http://home.san.rr.com/nessengr/techdata/techindex.html
Wire Information http://www.wiretron.com/
FILTERSCAD  Design Electronic Filters
FILTER CAD SOFTWARE
FREE AADE Filter Design Program : http://www.aade.com/filter32/download.htm
And a free shareware downloads at
http://www.filterscad.com/html/downloads.htmlFilter Programs:
ePanorama
AppCAD Ver 3.0 now available !
GTH Electronics: Free DOS Circuit Analysis and Waveform Analysis
Almost All Digital Electronics
Electronic filter  Wikipedia, the free encyclopedia
Circuit Sage: Filter Design and Analysis
CRYSTALS, OSCILLATORS, FILTERS, PRECISION CRYSTALS, CRYSTAL
Driver Guide  free downloads  freeware and shareware MISC ›
LC and crystal filter software
what's new on Ian Purdie's electronic tutorial and electronicWhat is AppCAD?
AppCAD is an easytouse program that provides you with a unique suite of RF design tools and computerized Application Notes to make your wireless design job faster and easier. AppCAD's unique, interactive approach makes engineering calculations quick and easy for many RF, microwave, and wireless applications. AppCAD is useful for the design and analysis of many circuits, signals, and systems using products from discrete transistors and diodes to Silicon and GaAs integrated circuits. The keyword for AppCAD is easy  no circuit files, no manuals  just quick and easy.
See our: Amateur Radio Page
Radio Calculators
http://www.csgnetwork.com/electronicsconverters.html
CSG's Online Calculator  General Math
8051 Microcontroller Peripheral Timing Calculator
Acoustic Reverb Delay (RT60) Calculator
Active Audio Filter Calculator
Amateur Radio TVI Troubleshooter
Astable 555 Square Wave Calculator
Atmospheric Sound Absorption Calculator
Audio PreAmplifier Calculator
Battery Charge Time Calculator
Board Etch Run Impedance Calculator
Capacitor Information, Converters and Calculators
CCD Focal Length Calculator
CCD Object Resolution Calculator
CCD Object Size Calculator
Coil Frequency From Wire Length Calculator
Dielectric Constants Of Various Materials Table
DIVX Bitrate Calculator
Electrical Harmonics Calaculator
Electronics Hobby Project Information
Frequency Wavelength Calculator
General Device Frequency Information
Helical Primary Turns Calculator For Coils
Impedance And Resonant Capacitor Calculator For Coils
Inductance Calculator For Spiral Flat Coils
Jar Capacitance Calculator For Coils
LED (Multiple) Circuit Power And Series Resistor Calculator
LED (Single) Circuit Power And Series Resistor Calculator
Metric  English Energy Converter
Metric  English Power Converter
Monostable 555 Timeout Calculator
Ohm's Law Calculations
Ohm's Law Calculations With Power
OpAmplifier Calculator
Parallel Resistance Calculator
Percentage Calculator
Resistance, Capacitance, Voltage, And Time Calculator
Resistor Color Code Table And Calculator
Speaker 70 Volt Powered Line Calculator
TPad / HPad Resistance Calculator
Telephone Alpha Representation To Number Conversion
Telephone Number To Alpha Representation Conversion
Transformer Values Calculator
Series Resistance Calculator
Speaker Combination Decibel Calculator
Speaker Decibel Change Calculator
Speaker Decibel Change From Voltage Change Calculator
Speaker Decibel Power Change Calculator
Speaker Sound Q Calculator
Voltage Divider Calculator
Transistor Simulator And Calculator
Voltage Drop Calculator
Wire Length From Coil Frequency Calculator
Zener Diode Calculator
Current Solutions, Inc  Your OEM Power Supply Resource CenterThe Electronics Calculator Website
Electronics Converters and Calculators
History of Calculators
Electronics Calculators
Sharp calculators at sharpUSA.comElectronics Calculators
The Calculator Museum Web PageJumbo Electronics : Calculators  Printing from Casio
Calculator History: Wang Laboratories: From Custom Systems to
Online ElectronicCalculatorshttp://www.discovercircuits.com/resources/calculators.html
101science Calculator and conversion page
Transceiver Design Papers  GREAT!!
Power Supplies, AC DC Power Supplies by Elpac
Lambda  manufacturers of AC/DC and DC/DC power supplies
Elgar Electronics Corporation
Darnell.Com Inc.
Rantec Power Systems Inc, power supplies, DCDC converters, COTS
Spellman High Voltage
SMPS switching power supply design by Lazar's Power Electronics
MPJA  Power Supply, Power Supplies, Security Cameras, LCD, Fans
AC Power Source, ACAC, Frequency Converter, ACDC, DCDC, COTS
Del Global Technologies Corporation Home PagePower Supply Circuits
Simple 5V power supply
Power Supplies and Circuits
ePanorama
Simple 5V power supply
Electronic Circuits
Power Supply
Power supply circuits  Chapter 9: PRACTICAL ANALOG SEMICONDUCTOR
Sam's Laser FAQ  Diode Laser Power Supplies
Application Notes by Category  POWERSUPPLY CIRCUITS
Power Supply Circuits
Special!!! RFSIM99 Download RFsim99.exe
RFsim99 linear simulator.
RFSim99 is a free linear Sparameter based circuit simulator offering schematic capture, simulation, 1 port and 2 port Sparameter display and file support, tolerance analysis, stability circles, and much more. Requires Windows 95, 98, NT or 2000. File size 2045KB.ELECTRONICS   You are looking at page one of 2 pages to go to page 2 click here.
PAGE 2 INDEX: ELECTRONICS ENGINEERING 6. Shop Practices/Test Equipment 7. Amateur Radio 8. Television/Video 9. Robots 10. Reference/EE 11. LINKS 12. Equipment for Sale 13. DSP (A Crash Course)MIT ELECTRONICS
AND COMPUTER SCIENCE COURSES ONLINE> here free!
"Complete Site" Electronics Alphabetical Table of Contents.

Don't know where to start? Then, start >HERE<
Navy Electronics Training Course  Complete
Free DOE Handbooks
How to navigate 101science.comAMATEUR RADIO PAGE: DON'T MISS OUR HAM RADIO PAGE.
TRANSISTOR PAGE: DONT MISS OUR TRANSISTOR PAGE
 Amateur
Radio  Amazon.com Biology  Books  Chemistry  Data
Sheets  Electronics  Math  Microscope  NASATV  
Amateur Radio Links
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