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Q.

In an ac circuit shown below in figure , the supply voltage has a constant rms value V but variable frequency f.  At resonance, the circuit

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a

has current I given by I=VR

b

has a resonance frequency 500 Hz

c

has a voltage across the capacitor which is 180 ° out of phase with that across the inductor

d

has a current given by I=VR2+1π+1π2

answer is A.

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Detailed Solution

fres=12πLC=12π1π×1π×10−6=500HzAt resonance, Z=RSo current I=VZ=VRWhen L and C are in series, voltage across capacitor and inductor is 180° out of phase.
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