question_answer

A series LCR circuit is connected to an AC source and is showing resonance. Then

A)  \[{{V}_{R}}=0\]           

B)  \[{{V}_{L}}={{V}_{R}}\]

C)   \[{{V}_{C}}={{V}_{R}}\]

D)  \[{{V}_{L}}={{V}_{C}}\]

Correct Answer: D

Solution :

At resonance of a series LCR circuit, voltage of inductor and capacitor are equal in magnitude and out of phase. Therefore, we can write \[{{V}_{L}}={{V}_{C}}\]