Question

A 300 Ω resistor and a capacitor of `(25/pi)`µF are connected in series to a 200 V − 50 Hz ac source. The current in the circuit is ______.

पर्याय

• 0.1 A

• 0.4 A

• 0.6 A

• 0.8 A

Answer 1

A 300 Ω resistor and a capacitor of `(25/pi)`µF are connected in series to a 200 V − 50 Hz ac source. The current in the circuit is 0.4 A.

Explanation:

`X_c = 1/(2 pi f C)`

or, `X_c = 1/(2 pi xx 50 xx 25/pi xx 10^-6)`

∴ X_c = 400 Ω

R = 300 Ω

∴ Z = `sqrt (R^2 + X_c^2)`

= `sqrt(300^2 + 400^2`

= 500 Ω

∴ Current = V/Z

= 200/500

0.4 A