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  4. If Im is the current at resonant frequency, current through the circuit at half power frequencies will be

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Q. If $I_m$ is the current at resonant frequency, current through the circuit at half power frequencies will be

COMEDKCOMEDK 2010Alternating Current

Solution:

Current at resonant frequency $= I_m$
Power in ac circuit, $P = I^2 Z \cos \phi $
Hence, if power will be half then current through the circuit is $\frac{I_m}{\sqrt{2}}$ for a given frequency.