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An LCR series circuit consists of a resistance of 10Ω , a capacitor of reactance 60Ω and an inductor coil. The circuit is found to resonate when put across a 300 V, 100 Hz supply. The inductance of the coil is (take π = 3)

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0.1 H

0.01 H

0.2 H

0.02 H

answer is A.

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Detailed Solution

$\begin{aligned} X_{L} = X_{C} \\ ω L = 60 Ω \\ 2 π f \times L = 60 \\ L = \frac{60}{200 \times π} \\ = 0.095 H \\ L = 0.1 H \end{aligned}$

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