1. In the circuit shown below, the switch S is closed at t=0. Given [V, C, R] De

Question

1. In the circuit shown below, the switch S is closed at t=0. Given [V, C, R] Determine:

a. The current in the 3R resistor just after the switch is closed

b. The charge on the capacitor just after the switch is closed

c.The current in the R resistor just after the switch is closed

d.The current in the 3R resistor a long time after the switch is closed

e.The charge on the capacitor a long time after the switch is closed

f. The current in the R resistor a long time after the swtich is closed.

****g. Write out the 5 equations needed to solve for the charges and currents as a function of time

Explanation / Answer

Here ,

just after the switch is closed , the capacitor will be short circuited

a) current in the 3R resistance = V/Req

current in the 3R resistance = V/(3R)

b) charge on the capacitor = 0

c)

as the capacitor is short

current in the R resistance = 0

d)
after a very long time , the capacitor will be open circuited

for the equivalent resistance

Req = 3R + R* 2R/(R + 2R)

Req = 11R/3

current in 3R resistance = V/Req

current in 3R resistance = V/(11R/3)

current in 3R resistance = 3V/(11R)

e)

charge in the capacitor after a long time =Vc * C

charge in the capacitor after a long time = 3V/(11R) * 2R/(3) * C

charge in the capacitor after a long time = 2V* C/11

please post other parts in a separate question

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