question_answer

When impedance is \[\sqrt{3}\] times of resistance find phase difference:

A)  \[{{90}^{o}}\]                

B)  \[{{30}^{o}}\]

C)  \[{{60}^{o}}C\]            

D)  data is incomplete

Correct Answer: C

Solution :

From the figure, we have \[\Rightarrow \] \[\tan \theta =\frac{{{X}_{L}}-{{X}_{C}}}{R}\] Taking \[{{X}_{C}}=0\] and here \[{{X}_{L}}=3R\] \[\Rightarrow \] \[\theta ={{\tan }^{-1}}\sqrt{\frac{3R}{R}}\] \[\Rightarrow \] \[\theta ={{\tan }^{-1}}\sqrt{3}\,=\,{{60}^{o}}\] \[(\because \,\,\tan {{60}^{o}}=\sqrt{3})\]