Question

What will happen if the frequency of power supply in a pure capacitor is doubled?

• A. The current will also be doubled
• B. The current will reduce to half
• C. The current will remain the same
• D. The current will increase to four-fold

Hint:

- Capacitive current is proportional to frequency (\( I \propto f \)).

Answer 1

The Correct Option is A

Step 1: Understanding capacitive reactance. - The current in a capacitor is given by: \[ I = V\omega C \] where \( \omega = 2\pi f \).
Step 2: Effect of doubling frequency. - If \( f \) is doubled, \( \omega \) is also doubled. - Since \( I \propto \omega \), current also doubles.
Step 3: Selecting the correct option. Since doubling frequency doubles current, the correct answer is (A).