Alternating CurrentHard

Question

In the AC circuit shown below, the supply voltage has constant rms value V but variable frequency f. At resonance, the circuit :
                                              

Options

A.has a current I given by I =
B.has a resonance frequency 500 Hz
C.has a voltage across the capacitor which is 1800 out of phase with that across the inductor
D.has a current given by I =

Solution

Resonance frequency   f = = 500 Hz
At resonance    Z = R
&  I =
L & C are in out of phase.

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