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.

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Solution

## Given: A 60 μF capacitor is connected to a 110 V, 60 Hz ac supply. The capacitive reactance of a circuit is given as, X C = 1 ωC = 1 2πfC Where, the supply frequency is f and the capacitance is C. The rms current is given as, I= V X C =V×2πfC Where, the supply voltage is V. By substituting the values in the above equation, we get I=110×2π( 60 )( 60× 10 −6 ) =2.49 A Thus, the value of rms current in the circuit is 2.49 A.

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