Physics - EMI/AC Question with Solution | TestHub

Inductive reactance $X_L=\omega L=100\frac{\sqrt{3}}{10}\Omega$

$=10\sqrt{3}\Omega$

Capacitive reactance

$X_c=\frac{1}{\omega \mathrm{C}}=\frac{1}{100\times \frac{\sqrt{3}}{2}\times 10^{-6}}\Omega =\frac{20000}{\sqrt{3}}\Omega$

For $i_1$, phase difference between $i_1$ & voltage$tan{\varphi }_1=\frac{x_L}{R}=\frac{10\sqrt{3}}{10}=\sqrt{3}$

$\Rightarrow {\varphi }_1=60^o,$ current lagging

For $i_2$ , phase difference

$tan{\varphi }_2=\frac{X_C}{R}=\frac{20000}{\sqrt{3}\times 20}=\frac{1000}{\sqrt{3}}$

$\Rightarrow {\varphi }_1\approx 90^o,\text{current leading}$

$\therefore$ difference in phase $=90^o+60^o=150^o$