A 20 volts A C 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

Question

A 20 volts A C 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 (A) 16 volts (B) 10 volts (C) 8 volts (D) 6 volts

Tardigrade Admin · Accepted Answer

The voltage across a L-R combination is given by V2=VR2+VL2 VL=√V2-VR2 =√400-144 =√256=16 volt

Q. A $20$ volts $A C$ 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

16 volts

10 volts

8 volts

6 volts

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

Q. 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 12V, the voltage across the coil is