Question

A 40 µF capacitor is connected to a 200 V. 50 Hz ac supply. The rms value of the current on the circuit is, nearly ______.

Options

• 2.05 A

• 2.5 A

• 25.1 A

• 1.7 A

Answer 1

A 40 µF capacitor is connected to a 200 V. 50 Hz ac supply. The rms value of the current on the circuit is, nearly 2.5 A.

Explanation:

I_rms = Cωe_rms

C = 40 × 10^-6 F

ω = 2πf = 100π

e_rms = 200 V

\[\therefore\] I_rms = 200 x 40 × 10^-6 × 2π × 50

= 2.5 A