Question

An ac source V = 282 sin (100 t) volt is connected across a 1 μF capacitor. The rms value of current in the circuit will be ______.
(take √2 = 1.41)

Options

• 10 mA

• 20 mA

• 40 mA

• 80 mA

Answer 1

An ac source V = 282 sin (100 t) volt is connected across a 1 μF capacitor. The rms value of current in the circuit will be 20 mA.

Explanation:

Given, V = 282 sin(100t) V

C = 1 µF = 10⁻⁶ F

Pue capacitive, `X_c = 1/(omegaC) = 1/(100 xx 10^-6)`

= 10⁴ Ω

`I_0 = V_0/X_C = 282/10^4 = 28.2 mA`

`I_(rms) = I_0/sqrt2 = 28.2/sqrt2`

I_rms = 20 mA