Question

A $44\,mH$ inductor is connected to $220\,V$, $50\,Hz$ ac supply. The rms value of the current in the circuit is

• A. $12.8\,A$
• B. $13.6\,A$
• C. $15.9\,A$
• D. $19.5\,A$

Answer 1

Answer: (C)

$15.9\,A$

Answer 2

Here, $L = 44\,mH = 44 \times 10^{-3}\, H$ $V_{rms} = 220\,V,$ $\upsilon=50\,Hz$ The inductive reactance is $X_{L}=\omega L$ $=2\pi\upsilon L=2\times3.14\times50\times44\times10^{-3}$ $=13.82\,\Omega$ $\therefore I_{rms}=\frac{V_{rms}}{X_{L}}$ $=\frac{220}{13.82}$ $=15.9\,A$