Alternating Current
Madhya Pradesh Board · Class 12 · Physics
Quick revision notes for Alternating Current — Madhya Pradesh Board Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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1. Introduction and Basic Ideas
- AC voltage varies sinusoidally with time: v = v_m sin ωt.
- AC current is the current driven by AC voltage.
- AC is preferred for transmission because transformers can easily change voltage levels efficiently.
2. AC Applied to a Resistor
- For a pure resistor, current and voltage are in phase.
- The current through a resistor follows the same sinusoidal form as the voltage.
- Ohm's law works equally well for both AC and DC in a resistor.
3. AC Applied to an Inductor and a Capacitor
- In a pure inductor, current lags voltage by π/2.
- In a pure capacitor, current leads voltage by π/2.
- Phasors are rotating-vector representations, but voltage and current are scalar quantities.
4. Series LCR Circuit, Impedance, and Resonance
- In a series LCR circuit, the same current flows through R, L, and C.
- The current amplitude depends on impedance Z.
- Impedance is Z = √(R² + (X_C - X_L)²).
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