Alternating Current — Formula Sheet
Madhya Pradesh Board · Class 12 · Physics
14 formulas from Alternating Current (Madhya Pradesh Board Class 12 Physics) on one page, grouped by topic. Covers Introduction and Basic Ideas, AC.
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Formulas and Key Relations
2. AC Voltage and Current in a Resistor
v = v_m sin ωt
i = i_m sin ωt
i_m = v_m / R
I = i_m/√2 = 0.707 i_m
V = v_m/√2 = 0.707 v_m
3. Pure Inductor in AC
X_L = ωL
Average power over a cycle = 0
4. Pure Capacitor in AC
X_C = 1/ωC
Series LCR Circuit, Impedance, and Resonance
Impedance is Z = √(R² + (X_C - X_L)²).
i = i_m sin ωt and i_m = v_m/R.
I = i_m/√2 and V = v_m/√2.
Key relations
The average power is P = I^2R = VI.
The current is i = i_m sin(ωt − π/2), and i_m = v_m/X_L where X_L = ωL.
The current is i = i_m sin(ωt + π/2), and i_m = v_m/X_C where X_C = 1/ωC.
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