Question

In an A.C circuit, a resistance R is connected in series with an inductance L. If the phase angle between voltage and current be ${45}^0$, the value of inductive reactance will be

• A. $\frac{R}{4}$
• B. $\frac{R}{2}$
• C. $R$
• D. $\frac{R}{3}$

Answer 1

Answer: (C)

$R$

Phase angle $\left(\varphi \right)={45}^0={tan}^{-1}\left(1\right)$

$={tan}^{-1}\left(\frac{X_L}{R}\right)$

So, $\frac{X_L}{R}=1$

$\Rightarrow X_L=R$