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  4. In the given figure of circuit, the voltmeter reads 50 V. Determine the value of capacitance C ?

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Q. In the given figure of circuit, the voltmeter reads $50\, V$. Determine the value of capacitance $C$ ?Physics Question Image

Solution:

$X_{L}=X_{C}$
$\Rightarrow 2 \pi f L=\frac{1}{2 \pi f C}$
$\Rightarrow C=\frac{1}{4 \pi^{2} f^{2} L}$
$=\frac{1}{4 \times 10 \times 10^{6} \times 10 \times 10^{-3}}$
$=2.5\, \mu F$