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Capacitors won\'t hold a charge indefinitely; as time goes on, charge gradually

ID: 3895506 • Letter: C

Question

Capacitors won't hold a charge indefinitely; as time goes on, charge gradually migrates from the positive to the negative plate. We can model this as a discharge of the capacitor through an internal "leakage resistance." A 0.42F capacitor charged to 3.1V will initially discharge with a leakage current of 0.30mA .


Part A

What is the Leakage resistance? (express answer to two significant figures and inlcude appropriate units)

R= Value_____ Units_______


Part B

How long will it take for the capacitor voltage to drop to 1.0 V? (express answer to two significant figures and inlcude appropriate units)

t = Value_____ Units_______

Explanation / Answer

1. it's just ohm's law
R = E/I = 3.1/0.30m = 10.33k

2. voltage on a cap, discharging
v = v?e^(

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