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 $\frac{1}{(K\pi)} \text{mH}$. The value of K is ________.

Answer 1

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
So, value of K is 0