Question

In a purely resistive AC circuit, which of the following graphs, best represents the variation of the magnitude of peak current $\left(I_o\right)$ with the angular frequency $\left(\omega \right)$ of the AC supply?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

We know that, for a purely resistive AC circuit, if voltage of AC supply is $E=E_0\sin \omega t$, then, AC in the circuit is $I=I_0\sin \omega t$, where $I_0=\frac{E_0}{R}$.

$\Rightarrow$ The magnitude of peak current$\left(I_0\right)$ is independent of the angular frequency$\left(\omega \right)$ of AC supply.

Therefore, the curve between $I_0$ and $\omega$ is a straight line parallel to $x-$axis.


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