MHT CET · Physics · Alternating Current
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
- A \(\tan ^{-1}(0)\)
- B \(\tan ^{-1} \frac{1}{\sqrt{3}}\)
- C \(\tan ^{-1}(1)\)
- D \(\tan ^{-1}(\sqrt{3})\)
Answer & Solution
Correct Answer
(D) \(\tan ^{-1}(\sqrt{3})\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \tan \phi=\frac{x_L}{R} \\ \therefore \quad & \tan \phi=\frac{\sqrt{3} R}{R}=\sqrt{3} \\ \therefore \quad & \phi=\tan ^{-1}(\sqrt{3})\end{aligned}\)
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