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An inductor of inductance 2 \mu \mathrm{H} is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 \mathrm{kHz}. The value of capacitance for which maximum current is drawn into the circuit is \frac{1}{x} \mathrm{~F}, where the value of x is ________.
(Take \, \, \pi=\frac{22}{7} )

Option: 1

3872


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

For Maximum current is drawn

\begin{aligned} & x_L=x_C \\ & \omega L=\frac{1}{\omega C} \\ & 2 \pi f L=\frac{1}{2 \pi f c} \end{aligned}

\begin{aligned} & C=\frac{1}{4 \pi^2 f^2 L}=\frac{1}{4 \times \pi^2 \times 49 \times 10^6 \times 2 \times 10^{-6}} \\ & C=\frac{1}{3872} F \\ & X=3872 \end{aligned}

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jitender.kumar

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