Question

A series $\text{LCR}$ circuit connected across $(200\text{V},60\text{Hz})$ source. It consists of a capacitor of capacitive reactance $30\Omega$, a non-inductive resistor of $40\Omega$ and an ideal inductor of inductive reactance $90\Omega$ as shown in the figure. The value of inductance of the inductor in the circuit is nearly -


​​​​​​​$[$0.77 Mark$]$

• A. $1\text{H}$
• B. $1.61\text{H}$
• C. $0.24\text{H}$
• D. $2.91\text{H}$

Answer 1

The correct option is C $0.24\text{H}$

Inductive reactance,

$X_L=\omega L$

$\Rightarrow 90=(2\pi \times 60)\times L$ $[\because \omega =2\pi f]$

$\Rightarrow L=\frac{90}{2\pi \times 60}=0.24\text{H}$