First slide

AC Circuits

Question

A 20 volts ac is applied to a circuit consisting of a resistance and a coil with negligible resistance. If the voltage across the resistance is 12 V, the voltage across the coil is

Moderate

A

16 volts
B

10 volts
C

8 volts
D

6 volts

Solution

The voltage across a L–R combination is given by
$V^{2} = V_{R}^{2} + V_{L}^{2}$
$V_{L} = \sqrt{V^{2} - V_{R}^{2}} = \sqrt{400 - 144} = \sqrt{256} = 16 volt .$

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