Alternating Current Ques 15

15. An ac voltage is applied to a resistance $R$ and an inductor $L$ in series. If $R$ and the inductive reactance are both equal to $3 $ $\Omega$, the phase difference between the applied voltage and the current in the circuit is

[2011]

(a) $\pi / 6$

(b) $\pi / 4$

(c) $\pi / 2$

(d) zero

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Answer:

Correct Answer: 15.(b)

Solution:

  1. The phase difference $\phi$ is given by

$ \begin{aligned} & \tan \phi=\frac{X_L}{R} \\ & =\frac{3}{3}=1 \quad \Rightarrow \phi=\frac{\pi}{4} . \end{aligned} $