JEE PYQ: Alternating Current Question 4
Question 4 - 2021 (17 Mar Shift 2)
Match List-I with List-II:
List-I: (a) Phase difference between current and voltage in a purely resistive AC circuit (b) Phase difference between current and voltage in a pure inductive AC circuit (c) Phase difference between current and voltage in a pure capacitive AC circuit (d) Phase difference between current and voltage in an LCR series circuit
List-II: (i) $\frac{\pi}{2}$; current leads voltage (ii) zero (iii) $\frac{\pi}{2}$; current lags voltage (iv) $\tan^{-1}\left(\frac{X_C - X_L}{R}\right)$
(a) (a)-(i), (b)-(iii), (c)-(iv), (d)-(ii) (b) (a)-(ii), (b)-(iv), (c)-(iii), (d)-(i) (c) (a)-(ii), (b)-(iii), (c)-(iv), (d)-(i) (d) (a)-(ii), (b)-(iii), (c)-(i), (d)-(iv)
Show Answer
Answer: (d)
Solution
(a) Purely resistive: phase difference = 0 → (ii). (b) Pure inductive: current lags voltage by $\pi/2$ → (iii). (c) Pure capacitive: current leads voltage by $\pi/2$ → (i). (d) LCR series: $\tan\phi = \frac{X_L - X_C}{R}$ → (iv).