Question

A current of $\frac{25}{\pi }Hz$ frequency is passing through an AC circuit having series combination of $R=100\Omega$ and $L=2H$, the phase difference between voltage and current is _______

• A. ${90}^o$
• B. ${60}^o$
• C. ${30}^o$
• D. ${45}^o$

Answer 1

The correct option is D ${45}^o$

Given : $\nu =\frac{25}{\pi }Hz$ $R=100\Omega$ $L=2H$
Inductive reactance $X_L=2\pi \nu L=2\pi \times \frac{25}{\pi }\times 2=100\Omega$
Using $\tan \varphi =\frac{X_L}{R}$
$⟹\tan \varphi =\frac{100}{100}=1$
$⟹\varphi ={45}^o$
So, option D is correct.