Question

An AC supply with constant peak voltage and variable frequency is applied across a capacitor of capacitance $C$. Which of the following graphs correctly depicts the variation of peak current $\left(i\right)$ with angular frequency $\left(\omega \right)$?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

We know that, for a purely capacitive AC circuit, peak current,

$i=\frac{V_0}{X_C}=\frac{V_0}{1/\omega C}=V_{0}C\omega$

This equation is similar to the equation of a straight line passing through origin, $y=mx$.

Therefore, the curve between peak current and angular frequency will be a straight line passing through the origin.


Hence, option $\left(B\right)$ is the correct answer.