Alternating Currents
Telangana Open School (TOSS) · Class 12 · Physics
Quick revision notes for Alternating Currents — Telangana Open School (TOSS) Class 12 Physics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Alternating Current and Voltage
- AC voltage and current vary sinusoidally with time.
- General equations: \( V = V_m \cos \omega t \) and \( I = I_m \cos \omega t \).
- Peak values: \( V_m \) and \( I_m \) are maximum voltage and current.
AC in Resistive, Inductive, and Capacitive Circuits
- In a pure resistor, voltage and current are in phase (phase difference = 0).
- In a pure inductor, current lags voltage by \( 90^\circ \) or \( \pi/2 \) radians.
- In a pure capacitor, current leads voltage by \( 90^\circ \) or \( \pi/2 \) radians.
Series LCR Circuit and Resonance
- In a series LCR circuit, impedance \( Z = \sqrt{R^2 + (X_L - X_C)^2} \).
- Current \( I_{\text{rms}} = \frac{V_{\text{rms}}}{Z} \).
- Phase angle \( \phi \) is given by \( \tan\phi = \frac{X_L - X_C}{R} \).
Power in AC Circuits and Transformers
- Average power \( P_{\text{av}} = V_{\text{rms}} I_{\text{rms}} \cos\phi \).
- Power factor \( \cos\phi = \frac{R}{Z} \), ranges from 0 to 1.
- In pure resistor, power factor = 1; in pure L or C, power factor = 0.
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