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Electricity & Magnetism — Fields, Circuits & Induction

Electricity and magnetism are two aspects of the unified electromagnetic force. This hub covers electric charge, Coulomb law, electric fields, current, voltage, resistance, Ohm law, circuit analysis, magnetic fields, and Faraday law of induction.

Study Notes: Electricity and Magnetism

1. Electric Charge and Coulomb Law

Electric charge is a fundamental property of matter. Protons carry positive charge (+e) and electrons carry negative charge (−e), where e = 1.6×10&sup-19; C. Like charges repel; unlike charges attract. Coulomb Law gives the magnitude of the force between two point charges: F = kq&sub1;q&sub2;/r², where k = 9×10&sup9; N·m²/C².

2. Current, Voltage, and Ohm Law

Electric current (I): Rate of flow of charge. I = Q/t, measured in Amperes (A).

Voltage (V): Electric potential difference — energy transferred per unit charge. Measured in Volts (V).

Resistance (R): Opposition to current flow. Measured in Ohms (Ω).

Ohm Law: V = IR. Voltage = current × resistance. Valid for ohmic conductors at constant temperature.

3. Series and Parallel Circuits

Series: Components share the same current. R⊂total; = R&sub1; + R&sub2; + R&sub3;. Voltage divides proportionally to resistance.

Parallel: Components share the same voltage. 1/R⊂total; = 1/R&sub1; + 1/R&sub2; + 1/R&sub3;. Current divides between branches.

4. Magnetic Fields and Electromagnetic Induction

Moving charges create magnetic fields. A current-carrying conductor in a magnetic field experiences a force: F = BIL. A changing magnetic flux induces an EMF (Faraday Law): EMF = −NΔΦ/Δt. Lenz Law states the induced current opposes the change causing it.

Electricity & Magnetism Formula Sheet

Key formulas with definitions, variables, and SI units.

Ohm's Law

V = IR

Voltage = current × resistance

Unit: V (Volts)

Power

P = IV = I²R

Electrical power (three forms)

Unit: W (Watts)

Coulomb Law

F = kq1q2/r²

Electric force between two point charges

Unit: N (Newtons)

Electric Field

E = F/q

Force per unit charge

Unit: N/C or V/m

Current

I = Q/t

Charge flow per unit time

Unit: A (Amperes)

Faraday Law

EMF = NΔΦ/Δt

Induced EMF from changing flux

Unit: V (Volts)

Frequently Asked Questions

Common questions about this topic, answered clearly.

Ohm’s Law states V = IR: voltage across a conductor is proportional to current through it at constant temperature. Double the voltage and you double the current. Double the resistance and you halve the current.

Series: same current through all components; resistances add; voltage divides. Parallel: same voltage across all branches; total resistance decreases; current divides between branches.

Faraday Law states that a changing magnetic flux through a circuit induces an EMF: EMF = −NΔΦ/Δt. The negative sign (Lenz Law) means the induced current opposes the change that caused it.

DC (direct current) flows in one direction only, from a battery. AC (alternating current) periodically reverses direction — mains electricity is AC at 50 Hz or 60 Hz depending on country.

Related Physics Topics

Waves

Electromagnetic waves and the EM spectrum.

Modern Physics

Photons, quantum electrodynamics, semiconductor physics.

Physics Formulas

Complete electricity and magnetism formula library.
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