Question

A $20\text{V}$ a.c. is applied to a circuit consisting of a resistance and a coil with a negligible resistance. If the voltage across the resistance is $12\text{V}.$ The voltage across the coil is-

• A. $16\text{V}$
• B. $10\text{V}$
• C. $8\text{V}$
• D. $6\text{V}$

Answer 1

The correct option is A $16\text{V}$

Given,

$V=20\text{V};V_R=12\text{V}$

In an $RL$ circuit,

$V^2=V_R^2+V_L^2$

$(20{)}^2=(12{)}^2+V_L^2$

$V_L^2=256\text{V}$

$V_L=16\text{V}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(A\right)$ is the correct answer.