Question

Plot a graph to show the variation of reactance of the element with the frequency of the applied voltage.

Hint:

The inductive reactance increases linearly with frequency. So, in an AC circuit, increasing the frequency increases the opposition to current flow in an inductor.

Answer 1

Since the element identified in part (a) is an inductor, the inductive reactance is given by: \[ X_L = \omega L = 2\pi f L \] where \( f \) is the frequency of the applied AC voltage. From the formula, it is evident that the inductive reactance \( X_L \) is directly proportional to the frequency \( f \). Therefore, as frequency increases, the reactance increases linearly.

The graph is a straight line starting from the origin, confirming that \( X_L \propto f \).