A capacitor of 50 μF is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is μC. [Figure: a 6 V ideal cell with positive terminal at the top. From its top, three 2 kΩ resistors in series run down to ground; the cell's lower terminal is also grounded. The capa…

Question

A capacitor of 50 μF is connected in a circuit as shown in figure. The charge on the upper plate of the capacitor is μC. [Figure: a 6 V ideal cell with positive terminal at the top. From its top, three 2 kΩ resistors in series run down to ground; the cell's lower terminal is also grounded. The capacitor C=50 μF is connected from the junction between the second and third resistors (upper plate) to ground (lower plate).]

Accepted Answer

100. Steady state: no current into the capacitor, so the chain carries I=6/(6 kΩ)=1 mA. The capacitor is across the bottom 2 kΩ: V=1 mA×2 kΩ=2 V. The upper plate is at the higher potential, so it holds positive charge. Q=50×2=100 μC.

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