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.