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Q. An LCR series circuit, connected to a source $E$, is at resonance. Then

Bihar CECEBihar CECE 2009Alternating Current

Solution:

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