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  • A 40 capacitor is connected to a 200V, 50Hz ac supply. The rms value of the current in the circuit is nearly,<

A 40\mu F capacitor is connected to a 200V, 50Hz ac supply. The rms value of the current in the circuit is nearly,

Option: 1

1.7 A


Option: 2

 2.05 A


Option: 3

2.5 A

 


Option: 4

25.1 A


Answers (1)

best_answer

\begin{array}{l} \text { Here, } C=40 \times 10^{-6} F, E_{rms}=200 V, v=50 H z \\ I_{rms}=? \\ \\ I_{rms}=\frac{E_{rms}}{X_{C}}=\frac{E_{rms}}{1 / \omega C}=E_{rms}(\omega C)=E_{rms}(2 \pi v C) \\ \\ I_{rms}=200 \times 2 \times \frac{22}{5} \times 50 \times 40 \times 10^{-6}=2.5 A \end{array}

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