Question

In an ac circuit reactance of a coil is root 3 times its resistance.The phase difference between voltage across the coil and current in the coil in radians is

Answer 1

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Answer 2

Answer:

$\dfrac{\pi}{3}$

Explanation:

Let's consider that the reactance of the coil is x and resistance of the circuit is R.

According to question,

    $x\ =\ \sqrt{3}R$

$=>\ \dfrac{x}{R}\ =\ \sqrt{3}$

As we are asked to calculate the phase difference between voltage and current of the circuit, which can be calculated by

   $tan\theta\ =\ \dfrac{x}{R}$

$=>\ \tan\theta\ =\ \sqrt{3}$

$=>\ \theta\ =\ tan^{-1}\sqrt{3}$

                 $=\ \dfrac{\pi}{3}$

Hence, the phase difference between voltage and current is $\dfrac{\pi}{3}$.