Question

A $0.1\text{H}$ inductor is connected to a $220\text{V}$, $50\text{Hz}$ ac supply. The rms value of the current in the circuit is

• A. $7\text{A}$
• B. $8\text{A}$
• C. $5\text{A}$
• D. $7\sqrt{2}\text{A}$

Answer 1

The correct option is A $7\text{A}$

The inductive impedence is given by,

$X_L=\omega L$

$X_L=100\pi \times 0.1$

$=10\pi \Omega$

$I_{rms}=\frac{V_{rms}}{X_L}=\frac{220}{10\pi }$

$=\left(\frac{22}{\left(\frac{22}{7}\right)}\right)=7\text{A}$