Question:
The value of inductance \( L \) for which the current is maximum in series \( LCR \) circuit with \( C = 10 \, \mu F \) and \( R = 1000 \, \Omega \) is
The value of inductance \( L \) for which the current is maximum in series \( LCR \) circuit with \( C = 10 \, \mu F \) and \( R = 1000 \, \Omega \) is
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For maximum current in a series \( LCR \) circuit, the inductance must satisfy the resonance condition \( \omega_0 = \frac{1}{\sqrt{LC}} \).
Updated On: Jan 12, 2026
- 10 mH
- 50 mH
- 200 mH
- 100 mH
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The Correct Option is C
Solution and Explanation
The resonance condition for a series \( LCR \) circuit is given by \( \omega_0 = \frac{1}{\sqrt{LC}} \), where \( \omega_0 \) is the resonant angular frequency. Using the given values for \( C \) and \( R \), we can calculate the inductance \( L = 200 \, \text{mH} \).
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