Question

A $40\text{mH}$ inductor is connected to a $200\text{V},50\text{Hz}$ ac supply. The rms value of the current in the circuit is, nearly

• A. $25.1\text{A}$
• B. $1.7\text{A}$
• C. $2.05\text{A}$
• D. $16\text{A}$

Answer 1

The correct option is D $16\text{A}$

Inductive reactance $=X_L$

$X_L=\omega L=2\pi \times 50\times 40\times {10}^{-3}=4\pi \Omega$

$i_{rms}=\frac{V_{rms}}{X_L}=\frac{200}{4\pi }\approx 16\text{A}$