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.
Show Hint
Capacitive reactance is \(1/(\omega C)\), which falls as either capacitance or frequency increases.
Statement I is correct; Statement II is incorrect.
Statements I and II are correct.
Statement I is incorrect; Statement II is correct.
Show Solution
The Correct Option isA
Solution and Explanation
Step 1: Formula-first approach
$X_C=\dfrac{1}{2\pi fC}$ depends inversely on both $f$ and $C$.
Step 2: Test the statements
Increasing $C$ lowers $X_C$, so I is false. Changing $f$ changes $X_C$, so II is false.
Step 3: Pick
Only the option saying that both statements are incorrect fits.
Final Answer:
Reactance decreases with both capacitance and frequency, so both statements are false.
\[ \boxed{\text{(A) }\text{Statements I and II are incorrect.}} \]