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  4. An inductor coil when connected to a 12 V batt.ery draws a steady current 6 A. This coil when connected in series with a capacitor and an AC source of 10 V, current is in phase with applied voltage. AC meter included in the circuit reads

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Q. An inductor coil when connected to a $12 \, V$ batt.ery draws a steady current $6 \, A$. This coil when connected in series with a capacitor and an $AC$ source of $10 \, V$, current is in phase with applied voltage. $AC $ meter included in the circuit reads

COMEDKCOMEDK 2010Alternating Current

Solution:

Resistance of the coil $ = \frac{ \text{Battery voltage}}{\text{Steady current}} = \frac{12}{6} = 2\Omega $
After connecting capacitor, circuit becomes as shown in the figure, and this figure is in resonance.
Impedance in the circuit, $Z = R = 2 \, \Omega \, V = 10 \, V$
Current at resonance, $ I = \frac{V}{R} = \frac{10}{2} = 5 \, A $

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