Question

Consider a series L-R circuit in which $L=\frac{1}{\pi }$ $H$ and resistance $R=100$ $\Omega$. When the circuit is connected to a.c source $220$ $V$, $50$ $H_z$. Find the current drawn from the source.

Answer 1

$X_L=\omega L$

So, $j{X}_L=2\pi \times 50\times \frac{1}{\pi }=100$ $\Omega$

$i=\frac{220}{100+j100}$

$\Rightarrow i=\frac{2.2(1-j)}{2}$

$\Rightarrow i=1.1(1-j)$

$\Rightarrow |i|=1.55$ $A$