help Consider a series RC circuit as in the figure below for which R = 2.00 M oh
ID: 2138029 • Letter: H
Question
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Consider a series RC circuit as in the figure below for which R = 2.00 M ohm, C = 6.00 muF, and epsilon = 31.0 V. Find the time constant of the circuit. S What is the maximum charge on the capacitor after the switch is thrown closed? muC Find the current in the resistor 10.0 s after the switch is closed. muA The circuit in the figure below has been connected for a long time. Let R1 = 8.20 ohm and R2 = 5.00 ohm. What is the potential difference across the capacitor? V If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-half its initial voltage? musExplanation / Answer
a) T = RC = 2e-6*6e-6 = 12 s
b) Q = CV = 6*31 = 186 uC
c) i = (emf/R) e^(-t/RC) =31/2 e^(-10/12) = 6.74 uA
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a)
V = 10/(8.2+2) * 8.2 - 10/6 * 1 = 6.37 V
b)
Req = 1/(1/(2+5) + 1/(1+8.2)) = 3.9753 ohms
T = Req C = 3.9753 * 1 = 3.9753 us
e^(-t/3.9753) = 0.5
==> t = 2.76 us
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