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In the given circuit, the magnitude of \mathrm{V}_{\mathrm{L}} \text { and } \mathrm{V}_{\mathrm{C}} are twice that of \mathrm{V}_{\mathrm{R}} . \text { Given that } f=50 \mathrm{~Hz} \text {, } the inductance of the coil is . \frac{1}{\mathrm{~K} \pi} \mathrm{mH}. The value of K is _______.

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

3


Answers (1)

best_answer

\begin{aligned} &V_{L}=2 V_{R} \\ &\begin{array}{l}i \times \omega L=2 \times i \times R \\ L=\frac{2 R}{\omega}=\frac{2 \times 5}{2 \pi \times 50}=\frac{1}{10 \pi} \\ =\frac{100}{\pi} \mathrm{mH}_{2} \end{array} \\ &K=\frac{1}{100} \approx 0 \end{aligned}

Hence 0 is correct answer.

Posted by

Pankaj Sanodiya

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