1. Tardigrade
  2. Question
  3. Physics
  4. 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 Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

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

Alternating Current

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