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In the circuit given below, the magnitudes of VL and VC are twice that of VK. Calculate the inductance of the coil, given that f = 50.50 Hz.(a) 6.41 mH(b) 5.30 mH(c) 3.18 mH(d) 2.31 mHI have been asked this question during a job interview.The origin of the question is Problems of Series Resonance Involving Frequency Response of Series Resonant Circuit in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer» CORRECT option is (c) 3.18 mH

To explain I would say: VL = VC = 2 VR

Q = \(\frac{V_L}{V_R}\)= 2

But we know, Q = \(\frac{ωL}{R} = \frac{1}{ωCR}\)

∴ 2 = \(\frac{2πf × L}{5}\)

Or, L = 3.18 mH.


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