Electromagnetic Induction and Alternating Current
NIOS · Class 12 · Physics
Quick revision notes for Electromagnetic Induction and Alternating Current — NIOS Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Electromagnetic Induction — Faraday's Laws
- Electromagnetic induction is the phenomenon of producing an EMF (and hence current) in a coil whenever the magnetic flux linked with the coil changes.
- Key observation: A stationary magnet near a coil produces NO current. Only a CHANGING magnetic flux induces EMF.
- Faraday's First Law: Whenever the magnetic flux linked with a circuit changes, an EMF is induced in it.
Lenz's Law and Eddy Currents
- Lenz's Law states: The direction of the induced current is always such that it OPPOSES the change in magnetic flux that caused it.
- Combined Faraday-Lenz law: ε = −dΦ_B/dt. The negative sign represents Lenz's law (opposition to the cause).
- Lenz's law is a consequence of the Law of Conservation of Energy. The induced current does work against the cause, so external work must be done to maintain the flux change.
Self-Inductance and Mutual Inductance
- Self-inductance (L) is the property of a coil by which it opposes any change in the current flowing through it by inducing a back EMF in itself.
- When current I flows through a coil, the flux linkage is Φ = LI. Hence, L = Φ/I.
- Self-induced back EMF: ε = −L·(dI/dt). The negative sign shows opposition to change (Lenz's law).
Alternating Current — Resistor, Capacitor, and Inductor Circuits
- Alternating current (AC) is a current whose magnitude changes continuously and direction reverses periodically.
- AC voltage: V = V_m·cosωt, AC current: I = I_m·cosωt, where V_m and I_m are peak (maximum) values.
- RMS (Root Mean Square) values: V_rms = V_m/√2 ≈ 0.707·V_m and I_rms = I_m/√2 ≈ 0.707·I_m.
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