practice

  1. Write something.
  2. Write something.
  3. Write something.
  4. Write something completely different.

numerical

  1. 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".
    1. First Position

      First Position
        currents through … charges on …
        R1 R2 R3 C1 C2 C3
      circuit completed            
      after a long time            
       
    2. Second Position

      Second Position
        currents through … charges on …
        R1 R2 R3 C1 C2 C3
      circuit completed            
      after a long time            
       
    3. Third Position

      Third Position
        currents through … charges on …
        R1 R2 R3 C1 C2 C3
      circuit completed            
      after a long time