JEE MAIN - Physics (2022 - 28th June Evening Shift - No. 22)

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 $${1 \over {K\pi }}$$ mH. The value of K is ____________.

JEE Main 2022 (Online) 28th June Evening Shift Physics - Alternating Current Question 85 English

Answer
0

Explanation

$${V_L} = 2{V_R}$$

So $$\omega Li = 2\,Ri$$

$$ \Rightarrow L = {{2R} \over \omega } = {{2 \times 5} \over {2\pi \times 50}} = {1 \over {10\pi }}H = {{100} \over \pi }H$$

So $$k = {1 \over {100}} \simeq 0$$

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