Question

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/(Kπ) mH. The value of K is ________.

Fig.

Answer 1

The correct answer is 0
VL = 2VR
So ωLi = 2 Ri
$⇒L=\frac{2R}{ω}=\frac{2×5}{2π×50}$
$=\frac{1}{10π}H=\frac{100}{π}H$
So
$k=\frac{1}{100}≃0$