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Home » A capacitor is connected to a ac supply. The rms value of the current in the circuit is, nearly: (1) (2) (3) (4)
A 40 \mu F capacitor is connected to a 200 V , 50 Hz ac supply. The rms value of the current in the circuit is, nearly:
(1) 2.5 A
(2) 25.1 A
(3) 1.7 A
(4) 2.05 A
Physics
A 40 \mu F capacitor is connected to a 200 V , 50 Hz ac supply. The rms value of the current in the circuit is, nearly:
(1) 2.5 A
(2) 25.1 A
(3) 1.7 A
(4) 2.05 A

Correct option: (1)

Explanation:

As we know, I_{r m s}=\frac{V_{r m s}}{Z}=\frac{200}{X_{C}}=200.2 \pi f . C
Calculating the value by substituting the value,

=200 \times 2 \times 3.14 \times 50 \times 40 \times 10^{-6}
I_{r m s}=251.2 \times 10^{-2} \approx 2.5 A

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