Question

In a given circuit, if peak voltage across resistance is 8V, then the value of capacitance is

• A. $3\mu F$
• B. $256.\mu F$
• C. $333.3\mu F$
• D. $50\mu F$

Answer 1

The correct option is C $333.3\mu F$

${10}^2=8^2+V_{maxC}^2\Rightarrow V_{maxC}=6V$
$V_{maxR}=i_{max}R\Rightarrow 8=i_{max}\times 4$
$V_{maxC}=i_0{X}_c$
$6=2x_c\Rightarrow X_c=3=\frac{1}{\omega C}\Rightarrow C=\frac{1}{3\omega }=333.33\mu F$