A 12 V battery is connected to two resistors and two capacitors as shown in the diagram on the right. The resistors and the capacitors were chosen so that points A and B are at the same potential. Determine…
the potential drop across the 1 Ω resistor
the potential drop across the 3 Ω resistor
the current through the 1 Ω resistor
the current through the 3 Ω resistor
the potential drop across the 1 μF capacitor
the potential drop across the unknown capacitor
the charge stored in the 1 μF capacitor
the charge stored in the unknown capacitor
the capacitance of the unknown capacitor
The circuit below is made of three 2 Ω resistors, three 2 μF capacitors, and a 12 V battery. There is a rotating switch at the top and bottom of the circuit made out of wire in the shape of a "T". Initially, all capacitors are uncharged and both switches are midway between two positions.
currents through…
charges on…
R1
R2
R3
C1
C2
C3
initial conditions
0 A
0 A
0 A
0 μC
0 μC
0 μC
The two switches are then simultaneously rotated into a series of three positions, one after the other, and held there for a "long time". For each position, determine the current through each resistor and the charge on each capacitor at the moment the circuit is completed and then after a "long time".