Question

An AC voltage \( V = 50\sqrt{2} \sin(100t) \) is applied across a capacitor of capacitance \( C = 1 \mu F \). What is the rms value of the current through the capacitor?

• A. \( 0.0025 \, \text{A} \)
• B. \( 0.01 \, \text{A} \)
• C. \( 0.005 \, \text{A} \)
• D. \( 0.007 \, \text{A} \)

Hint:

The current through a capacitor in an AC circuit is given by \( I = C \frac{dV}{dt} \). To find the rms value, divide the maximum current by \( \sqrt{2} \).