practice
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numerical
- 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".
- First Position
| First Position |
| |
currents through … |
charges on … |
| |
R1 |
R2 |
R3 |
C1 |
C2 |
C3 |
| circuit completed |
|
|
|
|
|
|
| after a long time |
|
|
|
|
|
|
| |
- Second Position
| Second Position |
| |
currents through … |
charges on … |
| |
R1 |
R2 |
R3 |
C1 |
C2 |
C3 |
| circuit completed |
|
|
|
|
|
|
| after a long time |
|
|
|
|
|
|
| |
- Third Position
| Third Position |
| |
currents through … |
charges on … |
| |
R1 |
R2 |
R3 |
C1 |
C2 |
C3 |
| circuit completed |
|
|
|
|
|
|
| after a long time |
|
|
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| |