In an a.c. circuit, the reactance of a coil is $\sqrt{3}$ times its resistance. The phase difference between…

In an a.c. circuit, the reactance of a coil is $\sqrt{3}$ times its resistance. The phase difference between the voltage across the coil to the current through the coil will be
  1. $\tan ^{-1}(0)$
  2. $\tan ^{-1} \frac{1}{\sqrt{3}}$
  3. $\tan ^{-1}(1)$
  4. $\tan ^{-1}(\sqrt{3})$

Solution

$\begin{aligned} & \tan \phi=\frac{x_L}{R} \\ \therefore \quad & \tan \phi=\frac{\sqrt{3} R}{R}=\sqrt{3} \\ \therefore \quad & \phi=\tan ^{-1}(\sqrt{3})\end{aligned}$ .

Asked in: MHT CET 2024 (15 May Shift 1)

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