Question

Identify the graph which correctly represents the variation of capacitive resistance $X_C$ with frequency.

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Since , $X_c=\frac{1}{\omega C}=\frac{1}{2\pi fC}$

$\Rightarrow X_C\propto \frac{1}{f}$

$\Rightarrow X_{C}f=\text{Constant}$

Which is the equation of rectangular hyperbola $xy=\text{Constant}$.

Hence, graph $\left(B\right)$ is correct.