An inductor of 0.5 mH, a capacitor of and a resistance of 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 . The value of is _______. [2023]

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Solution

Q.
An inductor of 0.5 mH, a capacitor of $20 μ F$ and a resistance of $20 Ω$ 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 _______. [2023]

Ans.
(242)

$X_{L} = X_{C}$

$So, Z = R = 20 Ω$

$i_{rms} = \frac{220}{20} = 11$

$i_{\max} = 11 \sqrt{2} = \sqrt{242}$

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