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

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