Question

In the circuit diagram shown, $X_C=100\Omega ,X_L=200\omega$ and $R=100\omega$. Find the effective current through the source.

Answer 1

Admittance $=Y$

Given, $X_C=100\Omega ,X_L=200\Omega$ and $R=X_L-X_C=100\Omega$

$Y=\frac{1}{R}+j\frac{1}{(X_L-X_C)}$

$\Rightarrow |Y|=\sqrt{{\left(\frac{1}{R}\right)}^2+{\left(\frac{1}{100}\right)}^2}=\sqrt{{\left(\frac{1}{100}\right)}^2+{\left(\frac{1}{100}\right)}^2}=\frac{\sqrt{2}}{100}$

Current through source, $I=VY=200\times \frac{\sqrt{2}}{100}=2\sqrt{2}A$