Question

Consider the statements on capacitive reactance.
Statement I: As capacitance increases, the capacitive reactance also increases.
Statement II: The capacitive reactance is independent of the source frequency.

• A. Statements I and II are incorrect.
• B. Statement I is correct; Statement II is incorrect.
• C. Statements I and II are correct.
• D. Statement I is incorrect; Statement II is correct.

Hint:

Capacitive reactance is \(1/(\omega C)\), which falls as either capacitance or frequency increases.

Answer 1

The Correct Option is A

Step 1: Understanding the Concept
Capacitive reactance is \(X_C=\dfrac{1}{\omega C}=\dfrac{1}{2\pi fC}\).

Step 2: Statement I
It says reactance increases as capacitance increases. But \(X_C\propto\dfrac{1}{C}\), so a larger capacitance gives a smaller reactance. Statement I is incorrect.

Step 3: Statement II
It says reactance is independent of frequency. But \(X_C\propto\dfrac{1}{f}\); it is infinite for DC and small at high frequency. Statement II is incorrect.

Final Answer:
Both statements are incorrect. \[ \boxed{\text{(A) }\text{Statements I and II are incorrect.}} \]