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Q.

In the given circuit, the magnitude of V_L and V_C are twice that of V_R. Given that f = 50 Hz, the inductance of the coil is $\frac{1}{Kπ} mH$ . The value of K is _________.

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Detailed Solution

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$\begin{array}{l} V_{L} = V_{C} = 2 V_{R} \\ X_{L} = X_{C} = 2 R \\ X_{L} = 10 Ω \\ ωL = 10 \\ 2 πfL = 10 \\ L = \frac{10}{2 πf} = \frac{1}{10 π} H = \frac{1000}{10 π} mH \\ L = \frac{1}{\frac{1}{100} π}; K = \frac{1}{100} = 0 .01 \approx 0 \end{array}$

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In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is 1KπmH. The value of K is _________.