Question

A $44mH$ inductor is connected to $220V$, $50Hz$ 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

The correct option is C 15.9 A

$L=44mH=44\times {10}^{-3}H$

$V_{rms}=220V,\nu =50Hz$

The inductive reactance is
$X_L=\omega L=2\pi \nu L$

$\Rightarrow 2\times 3.14\times 50\times 44\times {10}^{-3}$

$\Rightarrow 13.82\Omega$

$\therefore I_{rms}=\frac{V_{rms}}{X_L}=\frac{220}{13.82}=15.9A$