Electromagnetic Induction Question 6

Question 6 - 31 January - Shift 1

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

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Answer: (242)

Solution:

$X_L=X_C$

So, $Z=R=20 \Omega$

$i _{rms}=\frac{220}{20}=11$

$i _{\max }=11 \sqrt{2}=\sqrt{242}$

Ans:242