Question

A 60 µF capacitor is connected to a 110 V, 60 Hz ac supply. Determine the rms value of the current in the circuit.

Answer 1

Capacitance of capacitor, C = 60 μF = 60 × 10⁻⁶ F

Supply voltage, V = 110 V

Frequency, f = 60 Hz

Angular frequency, ω = 2πr

Capacitive reactance X_c = `1/(ω"C")`

= `1/(2pi "fC")`

= `1/(2 xx 3.14 xx 60 xx 60 xx 10^-6)`

= 44.2 Ω

The rms value of current is given as:

`"I" = "V"/"X"_"c"`

= `110/44.2`

= 2.49 A

Hence, the rms value of the current is 2.49 A.