My Notes Ask Your Teacher 4, 3.57 points SerCP 10 21.PO30. An AC source operatin

Question

My Notes Ask Your Teacher 4, 3.57 points SerCP 10 21.PO30. An AC source operating at 60 Hz with a maximum voltage of 164 V is connected in series with a resistor (R= 1.0 kA) and a capacitor (C=25pF). (a) What is the maximum value of the current in the circuit? (b) What are the maximum values of the potential difference across the resistor and the capacitor? Wcmax = (c) When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source? AVR Asource-

Explanation / Answer

R = 1000 0hm

and Xc = 1/ (2 pi f C) = 1 / (2 x pi x 60 x 2.5 x 10^-6)

Xc = 1061 ohm

Z = sqrt[ Xc^2 + R^2] = 1458 ohm

(A) I = V/Z = 0.112 A

(B) VR = I R = 112.5 Volt

Vc = I Xc = 119.3 V

(C) VR = 0

Vc = 119.3 Volt

Vsource = 0

Q = C Vc = 298.4 uC

(d) VR = 112.5 Volt

Vc = 0

Vsource = 164 volt

Q = 0

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