A series LCR circuit consisting of R = 10 ohms [XL] = 20

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A series LCR circuit consisting of R = 10 ohms [X_L] = 20 ohms is connected across an a.c. supply of 200 V rms. The rms voltage across the capacitor is

1. 200 ∠– 90° V
2. 200 ∠+ 90° V
3. 400 ∠+ 90° V
4. 400 ∠– 90° V

Correct Option: D

Z = √R² + (X_L ² − X_C ²)
= R (since | X_L | = | X_C | = 20 ohms)
∴ Z = 10 ohm

I =	200	= 20 A
	10

∴ V_C = – jIX_L = 400 ∠– 90° V