(a) What is the maximum value of the current in the circuit? A (b) What are the

Question

(a) What is the maximum value of the current in the circuit?
A

(b) What are the maximum values of the potential difference across the resistor and the capacitor?
VR,max = V
VC,max = V

(c) When the current is zero, what are the magnitudes of the potential difference across the resistor, the capacitor, and the AC source?
VR = V
VC = V
Vsource = V
How much charge is on the capacitor at this instant?
qc = µC

(d) When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the capacitor, and the AC source?
VR = V
VC = V
Vsource = V
How much charge is on the capacitor at this instant?
qc = µC

Explanation / Answer

a) I[max] = V[max]/SQRT{R^2 + 1/(2.pi.f.C)^2} = 169/SQRT{(1.6 x 10^3)^2 + (1/2.pi.60.2.5 x 10^-6)^2}
= 0.10 A

b) V[R] = I.R = 0.1 x 1.6 x 10^3 = 160 V
V[C] = I/(2.pi.f.C) = 106.15 V

c) I assume that the current is instantaneously zero
V[R] = 0
For the capacitor the current leads the voltage by pi/2
V[C] = 106.15 V
V[S] = 170

d) V[R] = 130 V
V[C] = 0 V
V[S] = 170 V
Q = 0

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