Match List-I with List-II
| List-I | List-II |
| (A) For a series LC circuit | (I) Currents in L and C are 180° out of phase |
| (B) For a parallel LC circuit | (II) Power factor = 0 |
| (C) For a purely capacitive circuit | (III) Voltages across L and C are 180° out of phase |
| (D) For a series LCR circuit at resonance | (IV) Reactance is zero |
Choose the correct answer from the options given below.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A) - (III), (B) - (I), (C) - (II), (D) - (IV)
In an inductor the voltage leads the current by \( 90^\circ \); in a capacitor the voltage lags the current by \( 90^\circ \). The two effects are opposite, which decides each match.
(A) For a series LC circuit — this matches (III) Voltages across L and C are 180° out of phase. The same current flows through both; \( V_L \) leads it and \( V_C \) lags it by \( 90^\circ \).
(B) For a parallel LC circuit — this matches (I) Currents in L and C are 180° out of phase. The same voltage is across both; \( I_L \) lags it and \( I_C \) leads it by \( 90^\circ \).
(C) For a purely capacitive circuit — this matches (II) Power factor = 0. The phase difference is \( 90^\circ \), so the power factor \( \cos 90^\circ = 0 \).
(D) For a series LCR circuit at resonance — this matches (IV) Reactance is zero. At resonance \( X_L = X_C \), so the net reactance is zero.