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Question

Physics Question on Alternating current

An LCR series circuit, connected to a source EE, is at resonance. Then

A

the voltage across R is zero

B

the voltage across R equals applied voltage

C

the voltage across C is zero

D

the voltage across L equals applied voltage

Answer

the voltage across R equals applied voltage

Explanation

Solution

Equation of voltage E=VR2+(VLVC)2E=\sqrt{V_{R}^{2}+\left(V_{L}-V_{C}\right)^{2}}
At resonance (series fircuit)
VL=VCE=VRV_{L}=V_{C} \Rightarrow E=V_{R}
ie, whole applied voltage appeared across the resistance.