= 2. An aging battery generating 200e-5t volts is connected in series with a 20 ohm resistor, and a 0.01 farad capacitor. Assuming q 0 at t = 0, find the charge and current for all t > 0. Show that the charge reaches a maximum and find the time it is reached.

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2. An aging battery generating 200e-5t volts is connected in series with a
20 ohm resistor, and a 0.01 farad capacitor. Assuming q = 0 at t = 0,
find the charge and current for all t > 0. Show that the charge reaches a
maximum and find the time it is reached.
3. In an arbitrary RC circuit with constant emf E, use the method of sepa-
ration of variables to derive the formula
Q(t) = Ae-t/RC + EC
for the charge on the capacitor, where A is an arbitrary constant. If Q(0) =
Qo, what is A?
CS Scanned with CamScanner
Transcribed Image Text:2. An aging battery generating 200e-5t volts is connected in series with a 20 ohm resistor, and a 0.01 farad capacitor. Assuming q = 0 at t = 0, find the charge and current for all t > 0. Show that the charge reaches a maximum and find the time it is reached. 3. In an arbitrary RC circuit with constant emf E, use the method of sepa- ration of variables to derive the formula Q(t) = Ae-t/RC + EC for the charge on the capacitor, where A is an arbitrary constant. If Q(0) = Qo, what is A? CS Scanned with CamScanner
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