AC Circuits
Maharashtra Board · Class 12 · Physics
Quick revision notes for AC Circuits — Maharashtra Board Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
AC Generator and Basic Concepts
- AC generator produces time-varying EMF: e = e₀ sin ωt where e₀ is peak EMF and ω is angular frequency
- AC current similarly varies as: i = i₀ sin (ωt + φ) where φ is phase difference
- Peak value is the maximum value of AC voltage or current in either direction
AC Circuit Elements - Individual Analysis
- Pure Resistor: Current and voltage in phase (φ = 0°), follows Ohm's law directly
- Pure Inductor: Current lags voltage by 90° (φ = -90°), opposes change in current
- Pure Capacitor: Current leads voltage by 90° (φ = +90°), opposes change in voltage
Series LCR Circuit and Impedance
- In series LCR circuit, same current flows through all elements
- Voltages across L and C are 180° out of phase, so net reactive voltage = |V_L - V_C|
- Impedance Z = √[R² + (X_L - X_C)²] represents total opposition to AC current
Power in AC Circuits
- Instantaneous power p = ei varies with time in AC circuits
- Average power over complete cycle depends on phase difference
- Pure resistor: P_av = e_rms × i_rms (all power dissipated as heat)
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