Published by:
CGP EDU Academic Team
Published on: September 13, 2026
For series 
circuit, wrong statement is
A
Applied e.m.f. and potential difference across resistance are in same phase
B
Applied e.m.f. and potential difference at inductor coil have phase difference of 
C
Potential difference at capacitor and inductor have phase difference of 
D
Potential difference across resistance and capacitor have phase difference of 
Text Solution
Verified by ExpertsThe correct answer is:
C
In an LCR circuit:
1. The potential difference across the resistor (V_R) and the applied e.m.f. (V) are in phase.
2. The potential difference across the inductor (V_L) lags the applied e.m.f. by 90 degrees (or \frac{\pi}{2} radians).
3. The potential difference across the capacitor (V_C) leads the applied e.m.f. by 90 degrees (or \frac{\pi}{2} radians).
4. The phase difference between V_R and V_C is 90 degrees (or \frac{\pi}{2} radians) but between V_L and V_C needs to be evaluated. Thus, potential differences across inductors and capacitors will indeed have a phase difference of \frac{\pi}{2} radians. Option C incorrectly states the phase difference of capacitors like inductors, which is the wrong statement.
5. Hence, the correct answer is Option C.
1. The potential difference across the resistor (V_R) and the applied e.m.f. (V) are in phase.
2. The potential difference across the inductor (V_L) lags the applied e.m.f. by 90 degrees (or \frac{\pi}{2} radians).
3. The potential difference across the capacitor (V_C) leads the applied e.m.f. by 90 degrees (or \frac{\pi}{2} radians).
4. The phase difference between V_R and V_C is 90 degrees (or \frac{\pi}{2} radians) but between V_L and V_C needs to be evaluated. Thus, potential differences across inductors and capacitors will indeed have a phase difference of \frac{\pi}{2} radians. Option C incorrectly states the phase difference of capacitors like inductors, which is the wrong statement.
5. Hence, the correct answer is Option C.
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