A) \[R=1k\Omega ,\,C=10\mu F\]
B) \[R=1k\Omega ,\,C=1\mu F\]
C) \[R=1k\Omega ,\,L=10H\]
D) \[R=1k\Omega ,\,L=1H\]
Correct Answer: A
Solution :
As the current i leads the voltage by \[\frac{\pi }{4},\] it is an RC circuit, hence \[\tan \varphi =\frac{{{X}_{C}}}{R}\]Þ \[\tan \frac{\pi }{4}=\frac{1}{\omega \,CR}\] Þ \[\omega \,CR=1\] as w = 100 rad/sec Þ \[CR=\frac{1}{100}se{{c}^{-1}}\]. From all the given options only option (a) is correct.
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