Question

​Two resistors, each with a resistance of 200 M​Ω are connected in parallel. Two capacitors, each...

​Two resistors, each with a resistance of 200 M​Ω are connected in parallel. Two capacitors, each with a capacitance of 10 ​μ​F are connected in series. The combination of resistors and the combination of capacitors are then connected in series with a battery supplying an emf of 12 V. The electrical circuit is completed. The capacitors are uncharged at the beginning.

(a) Illustrate the circuit.

(b) Calculate the capacitive time constant of the circuit.

(c) What fraction of the final (maximum) charge is on the plates of the capacitor combination at time t = 11 s?

(d) Find an expression for the current.
(e) What fraction of the initial current remains in the circuit at t = 6 s?

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