A 1.1 uF capacitor is connected in series to a 1.0 uF capacitor. The two are fur

Question

A 1.1 uF capacitor is connected in series to a 1.0 uF capacitor. The two are further connected to a 26.3 Volts non-ideal battery through a 2.9 M resistor. All connections are in series. The internal resistance of the battery is 7.0 m. Both capacitors are initially discharged. The switch is closed at t=0 s. Find the current in the circuit at t=7.5 seconds. Note: the current in the circuit after a few seconds is likely to be very small. It is likely that just putting the numbers into a calculator may give you zero, which will not be the acceptable answer. Calculate the result in nA instead.

Explanation / Answer

Rtotal = R + r

I = Io*e^-t/Rtotal*C

Io = V/Rtotal = 9.069 x 10^-6 A

Ctotal = 1.1*1/2.1 = 5.24 x 10^-7 F

Rtotal*C = 1.52 s

I = 65.26 nA

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