The circuit in the figure below consists of an ideal battery with emf =12V , the

Question

The circuit in the figure below consists of an ideal battery with emf =12V , the resistors R1=4 and R2=6, and the capacitor with C=6µF. When the switch is closed,the circuit is completed at time t=0.

(a) At time t = 2  what is the potential differenceacross the capacitor?

(b) At the same time, what are the potential differences across eachof the resistors?

(c) Sketch the charge on the capacitor, the potential difference across thecapacitor and each of the resistors, and the current through each resistor as a function of time.

Explanation / Answer

a)

equation of voltage can be written as

V = Vmax ( 1- e^-t/RC)

for t = 2RC

V = Vmax ( 1- 0.135)

V = 10.37 Volts

b)

potentisl difference across

R1 is 1.62 V

R2 is 12 V

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