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

Question

Philoid · Accepted Answer

Given: capacitance = 60 μF = 60 × 10^-6 F

Voltage V = 110 V

Frequency f = 60 Hz

The diagram is:

Capacitive reactance is given by the following relation:

X_c = 1/ωC

Substituting ω = 2πv in the above formula, we get

X_c = 1/2πvC

Substituting the values, we get

⇒

Now, the root mean square value of the current can be calculated as follows:

I_rms = V/X_c

I_rms = 110V × 2 × 3.14 × (60Hz) × 60 × 10^-6(F)

On calculating, we get

I_rms = 2.49 A