Question

Capacitive reactance is 3 k\(\Omega\). If connected to a source of double frequency, what is new reactance?

• A. 1.5 k\(\Omega\)
• B. 3 k\(\Omega\)
• C. 6 k\(\Omega\)
• D. 5.2 k\(\Omega\)

Hint:

Capacitive reactance is inversely proportional to frequency.

Answer 1

The Correct Option is A

Capacitive reactance: \[ X_C = \frac{1}{2\pi f C},\quad X_C \propto \frac{1}{f} \Rightarrow X_{C,\text{new}} = \frac{X_{C,\text{old}}}{2} = \frac{3}{2} = 1.5\ \text{k}\Omega \]