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Calculate the rms value of current in the circuit wherein an 80 μF capacitor is connected to a 100 V, 80 Hz ac supply.(a) 4 A(b) 2 A(c) 7 A(d) 50 AThe question was posed to me in a job interview.Asked question is from AC Voltage Applied to a Capacitor in division Alternating Current of Physics – Class 12

Answer»

Correct option is (a) 4 A

For EXPLANATION: Xc = \(\FRAC {1}{2πfC}\)

Xc = \(\frac {1}{(2 \times 3.14 \times 80 \times 80 \times 10^{-6})}\)

Xc = 24.8 Ω.

Irms = \(\frac {E_{rms}}{X_C}\)

Irms = \(\frac {100}{24.8}\)

Irms = 4.03 A ≈ 4 A.



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