The circuit in the picture consists of a 12 volt battery, a 6.0 F capacitor, and

Question

The circuit in the picture consists of a 12 volt battery, a 6.0 F capacitor, and two resistors RA = 4.0 and RB = 2.0 . The switch starts open and remains open until part (c).

[2 points] (a) Right after the battery is connected (in other words, the capacitor has still got no charge), calculate the current through the resistor RA.

[2 points] (b) After the capacitor is fully charged, calculate the current through the resistor RA.

[2 points] (c) The switch is then closed. Right after the switch is closed, calculate the current through RB.

[2 points] (d) A long time after the switch is closed, calculate the current through R

Explanation / Answer

(a)

current is max I = E/RA = 12/4 = 3 A

(b)

once the capaitor gets fully charged no current flows

current I = 0

(c)

the potential across the capacitor V 12 V

current I = 12/RB = 12/2 = 6 A

(d)

Req = RA + RB = 4 + 2 = 6 ohms

current i = E/Req = 12/6 = 2 A

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