The total impedance of an RC circuit with a resistance of 200 Ù is 1060 Ù. If the frequency of the applied voltage is 20.0 Hz, what is the value of the capacitance in this circuit?

Answer 1

R^2 + Xc^2 = Z^2,
(200)^2 + Xc^2 = (1060)^2,
Xc^2 = (1060)^2 - (200)^2,
Xc^2 = 1123600 - 40000 = 1083600,
Xc = 1041 ohms.

C = 1 / (6.28*F*Xc),
C=1 / (6.28*20*1041)=7.65*10^-6 Farads.
= 7.65 Microfarads.