Challenge 1:   Simple circuit #1 (bonus 8%).

Build the circuit shown in the diagram in Figure C.1. Make sure all capacitors are initially uncharged by short-circuiting them. Turn on the voltage (close the switch) and measure the voltage across the resistor using the same approach as in the lab. Calculate the total charge  on the combination (integrate the current through the resistor like we did in most experiments). Use the value for the total charge  and the voltage across the combination (3.3V) to calculate the equivalent capacitance  for this combination.  Make a snapshot of your breadboard setup for this experiment and include it into report.
Draw the circuit diagram and solve the circuit (theoretically calculate equivalent capacitance and voltages across each capacitor using accurate values for capacitances from Experiment 1 and the voltage 3.3V across the combination). Include your solution in the report. Does the theoretical value for  match the one obtained from your measurement?

 

Challenge 2:   Simple circuit #2 (bonus 5%).

Refer to the circuit shown in the diagram in Figure C.2. This is a theoretical problem – you will not build this circuit. Assume the voltage between points 1 and 2 is 12V. Draw the circuit diagram and solve the circuit (calculate equivalent capacitance and voltages across each capacitor).

Challenge 3:   Intermediate circuit  (bonus 10%).

(Warning: potential time sink! This circuit cannot be reduced to connections in series and parallel) Refer to the circuit shown in the diagram in Figure C.3. Assume the voltage between points 1 and 2 is 12V. This is a theoretical problem – you will not build this circuit. Draw the circuit diagram and solve the circuit (calculate equivalent capacitance and voltages across each capacitor).