An inductor coil joined to a 6V battery draws a steady current of 12A. This coil is connected to a capacitor and an AC source of rms voltage 6V in series. If the current in the circuit is in phase with the emf, the rms current is

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12A

24A

20A

answer is A.

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Detailed Solution

$Resistance of coil = \frac{V_{DC}}{l_{DC}} = 0.5 Ω$

Current is in phase with emf that means net impedance is equal to zero there fore same current flows through it.

Thus, impedance, $Z = R = 0.5 Ω$

So, $I_{rms} = \frac{V_{rms}}{Z} = \frac{6}{0.5} = 12 A$

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