question_answer

A circuit connected to an ac source of emf \[e={{e}_{0}}\sin (100t)\]with t in seconds, gives a phase difference of\[\frac{\pi }{4}\] between the emf e and current i. Which of the following circuits will exhibit this? [JEE Main 8-4-2019 Afternoon]

A) RC circuit with \[R=1k\Omega \]and \[C=1\mu F\]

B) RL circuit with \[R=1k\Omega \] and L = 1mH

C) RL circuit with \[R=1k\Omega \] and L = 10 mH

D) RC circuit with \[R=1k\Omega \] and \[C=10\mu F\]

Correct Answer: D

Solution :

[d] Given phase difference and  rad/s

Reactance (X) = Resistance (R) now by checking options

Option [a]

and

Option [b]

and

Option [c]

and

Option [d]

and

Clear option [d] matches the given condition