Identify the graph which correctly represents the variation of capacitive reactance ($X_C$) with frequency ($f$)
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) →
Capacitive reactance is given by:
$X_C = \frac{1}{2 \pi f C}$
Hence, $X_C$ is inversely proportional to frequency ($f$).
As frequency increases, capacitive reactance decreases.
Variation: $X_C \propto \frac{1}{f}$
Graph: A rectangular hyperbola decreasing with increase in frequency.