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Question

In a series resonant LCR circuit, the voltage across R is 100 volts and R=1k Ω with C=2 μF. The resonant frequency is 200 rad/s. At resonance the voltage across L is
  1. 40 V
  2. 250 V
  3. 4 x 103 V
  4. 2.5 x 102 V

A
2.5 x 102 V
B
250 V
C
4 x 103 V
D
40 V
Solution
Verified by Toppr

The resonant angular frequency , ω=1LC

L=1ω2C=12002×2×106=12.5H

At resonance , impedance Z=R so the current in the circuit is

I=VZ=VR=1001000=0.1A

Voltage across inductor, VL=IXL=IωL=0.1×200×12.5=250V

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