Switch Capacitor Circuits

The questions below are due on Monday April 06, 2026; 10:00:00 PM.
 
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In the circuit below:

  • C_1 = C_2 = 1mF
  • At t=0_-, v_{C1} = 100 V and v_{C2} = 0 V
  • At t=0 the switch closes and remains closed.

  1. Sketch a plot of v_{C1}(t) and v_{C2}(t) for t>0, labeling all key values.
  2. Sketch a plot of i_R(t) for t>0, labeling all key values.
  3. Calculate the energy stored in C_1 and C_2 before the switch closes.
  4. Calculate the final energy stored in C_1 and C_2.
  5. What is the difference in total energy stored in initial and final states?
  6. Where does the energy go? Prove this by calculating the energy dissipated by the resistor.
  7. Is the difference in energy dependent on the resistance value?


 
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