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Major Theorems in Electrical and Electronic Engineering

1. Ohm’s Law: Relates voltage, current, and resistance in circuits (V = I * R).
2. Kirchhoff’s Current Law (KCL): Sum of currents at a junction is zero.
3. Kirchhoff’s Voltage Law (KVL): Sum of voltages in a loop is zero.
4. Thevenin’s Theorem: Complex networks can be replaced with equivalent voltage source and resistor.
5. Norton’s Theorem: Complex networks can be replaced with equivalent current source and resistor.
6. Superposition Theorem: Responses in linear circuits are found by considering sources individually.
7. Maximum Power Transfer Theorem: Conditions for maximum power transfer from source to load.
8. Reciprocity Theorem: Voltage-to-current ratio is the same at any terminal pair.
9. Millman’s Theorem: Simplifies complex bridge networks into equivalent circuits.
10. Tellegen’s Theorem: Relates algebraic sum of products of currents and potential differences in loops.
11. Biot-Savart Law: Calculates magnetic field produced by a current-carrying conductor.
12. Gauss’s Law for Electricity: Relates electric flux to enclosed charge in a closed surface.
13. Faraday’s Law of Electromagnetic Induction: Induced electromotive force due to magnetic field changes.
14. Lenz’s Law: Direction of induced electromotive force opposes change causing it.
15. Coulomb’s Law: Calculates electrostatic force between charged particles.
16. Maxwell’s Equations: Set of four equations that describe electromagnetic phenomena.
17. Euler’s Formula: Relates complex exponentials to trigonometric functions (e^(ix) = cos(x) + i * sin(x)).
18. Nyquist-Shannon Sampling Theorem: Sampling rate must be at least twice the maximum frequency of the signal.
19. Bode’s Gain-Phase Relationship: Describes frequency response of a system using gain and phase.
20. Einstein’s Photoelectric Equation: Relates energy of photons to the energy of emitted electrons.

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