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An inductor of $\mathrm{ 0.5mH}$ , a capacitor of $\mathrm{20\mu F}$ and resistance of $\mathrm{20\Omega }$ are connected in series with a $\mathrm{220 V}$ ac source. If the current is in phase with the emf, the amplitude of current of the circuit is $\mathrm{\sqrt{x}A}$ . The value of $\mathrm{x}$ is-
Option: 1
242

Option: 2
-

Option: 3
-

Option: 4
-

Answers (1)

best_answer

Current is in phase with EMF. Hence, Circuit is at Resonance.

$\mathrm{I_{rms}=\frac{V_{rms}}{R}=\frac{220}{20}}$

$\mathrm{I_{rms}=11A}$

$\mathrm{I_{0}=\sqrt{2}I_{rms}=\sqrt{242A}}$

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