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Alternating Current

Question
CBSEENPH12039645

In a series resonant LCR circuit, the voltage across R is 100 volts and R = 1 kΩ with C = 2µF. The resonant frequency ω is 200 rad/s. At resonance the voltage across L is

  • 4 × 10−3 V

  • 2.5 × 10−2 V

  • 40 V

  • 250 V

Solution

D.

250 V

straight i space equals space 100 over 1000 space equals space 0.1 space straight A
straight V subscript straight L space equals space straight V subscript straight C space equals space fraction numerator 0.1 over denominator 200 space straight x space 2 space straight x space 10 to the power of negative 6 end exponent end fraction space equals space 250 space straight V