ELECTRICAL and ELECTRONICS ENGINEERING FORMULAS

Electronics is an engineering discipline that involves the design and analysis of electronic circuits. Originally, this subject was referred to as radio engineering. An electronic circuit is a collection of components through which electrical current can flow or which use electromagnetic fields in their operation.

The electronic circuit design and analysis rests primarily on two Kirchoff's laws in conjunction with Ohm's law modified for AC circuits and power relationships. There are also a number of network theorems and methods (such as Thevenin, Norton, Superposition, Y-Delta transform) that are consequences of these three laws. In order to simplify calculations in AC circuits, sinusoidal voltage and current are usually represented as complex-valued functions called phasors. Practical circuit design and analysis also requires a comprehensive understanding of semiconductor devices, integrated circuits and magnetics.

Here you will also find electricity and magnetism reference, basic electrical engineering formulas, calculators, and other related information.

Also see:
Electrical Engineering Reference: circuit laws and theorems;
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TRANSISTORS AND DIODES: THE BASICS

The properties of semiconductor devices are studied in college courses. The introduction to the circuits including operation of diodes and transistors and basic formulas can be found in various textbooks or handbooks, such as The Art of Electronics. Below are some highlights.

The I-V characteristic of a diode is approximated by the Shockley equation:
I=Is×(e^nVd/Vt-1),
where Is - the reverse bias saturation current (~10⁻¹⁵ to 10⁻¹² A for Silicon); Vd - voltage drop in volts; Vt - the thermal voltage (~0.026V at room temperature), n - the "ideality factor" (from 1 to 2).
At a fixed current I, forward voltage drop changes by about -2 mV/^oC.

In a bipolar transistor collector current Ic in a linear mode is related to the base-emitter voltage by the same Shockley (also called Ebers-Moll) equation, except for n=1. The collector current relates to the base current I_B by Ic=I_B×h₂₁, where h₂₁ - static current gain (typically 20-1000).. When Ic reaches a limit determined by the supply voltage and the net external impedance in the collector circuit, the transistor is saturated.

MOSFET's behavior varies with the gate voltage Vg. When Vg<Vth, where Vth - gate threshold voltage, the MOSFET is in OFF state with drain current Id≈0. When Vg>Vth and the external load is such that Vd>Vg-Vth, the MOSFET is in an active region, in which Id is proportional to the (Vg-Vth)² and practically does not depend on the Vd. Once Id reaches certain limit determined by an external circuit, MOSFET start acting as a nearly constant resistance. In this mode Vds≈Id×Rdson, where Rdson - the ON-state channel's resistance specified in data sheets as a function primarily of temperature and gate voltage. Power MOSFETs are usually used as switching devices which operate in either ON or OFF state.