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