Question:
When an alternating emf is applied across a capacitor \(C\), the graph of capacitive reactance \((X_C)\) with frequency \((f)\) of the source of alternating signal is
When an alternating emf is applied across a capacitor \(C\), the graph of capacitive reactance \((X_C)\) with frequency \((f)\) of the source of alternating signal is
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Capacitive reactance decreases inversely with frequency in AC circuits.
Updated On: Feb 11, 2026
- (B)
- (A)
- (C)\
- (D)
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The Correct Option is A
Solution and Explanation
Step 1: Expression for capacitive reactance.
Capacitive reactance is given by:
\[ X_C = \frac{1}{2\pi f C} \]
Step 2: Dependence on frequency.
From the formula,
\[ X_C \propto \frac{1}{f} \]
Step 3: Nature of graph.
As frequency increases, capacitive reactance decreases non-linearly.
The graph is a rectangular hyperbola.
Step 4: Conclusion.
The correct graph representing this variation is option (B).
Capacitive reactance is given by:
\[ X_C = \frac{1}{2\pi f C} \]
Step 2: Dependence on frequency.
From the formula,
\[ X_C \propto \frac{1}{f} \]
Step 3: Nature of graph.
As frequency increases, capacitive reactance decreases non-linearly.
The graph is a rectangular hyperbola.
Step 4: Conclusion.
The correct graph representing this variation is option (B).
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