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JEE PYQ: Alternating Current Question 32

Question 32 - 2019 (08 Apr Shift 2)

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?

(a) RL circuit with $R = 1$ k$\Omega$ and $L = 10$ mH (b) RL circuit with $R = 1$ k$\Omega$ and $L = 1$ mH (c) RC circuit with $R = 1$ k$\Omega$ and $C = 1,\mu$F (d) RC circuit with $R = 1$ k$\Omega$ and $C = 10,\mu$F

Show Answer

Answer: (d)

Solution

$\omega = 100$ rad/s. For $\tan 45° = 1$: $\omega CR = 1$. Option (d): $100 \times 10 \times 10^{-6} \times 10^3 = 1$. Correct.


Learning Progress: Step 32 of 38 in this series