Question

A $50\text{Hz},20\text{V}\text{AC}$ source is connected across $R$ series circuit as shown in Figure If the voltage across $R$ is $12\text{V}$ then voltage across capacitor is

• A. $8\text{V}$
• B. $16\text{V}$
• C. $10\text{V}$
• D. $\text{cannot be predicted as values of R and C are not given.}$

Answer 1

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

$V^2=V_R^2+V_c^2$

${20}^2={12}^2+V_c^2$

$V_c=\sqrt{{20}^2-{12}^2}$

$V_c=16\text{V}$