1. The circuit shown contains a 2.0 V battery, two unknown components, and a switch.
The graph shows the output voltage measured across terminals a and b as a function of
time after the switch is closed at t=0. a) sketch the voltage vs. time across circuit
element A. b) What is the characteristic time of the circuit? c) If both A and B represent
single components, either R, L, or C, there are at least two candidate circuits that would
produce the above behavior. Sketch both circuits. d) You measure the series d.c.
resistance of the two elements A and B and obtain the value 100 Ω. Which of your
candidate circuits is correct, and what are the identities and values of the two
components?
2. Calculate the potential difference VA-VB in terms of the quantities indicated in the
figure.
3. In the figure below, calculate the current flowing in each resistor.
4. In the figure above, what is the voltage between terminals G and H? Use this result to
obtain the values of the open-circuit voltage Vth and load resistance Rth in the Thevenin
equivalent circuit:
5. In the figure for problem 3, if we were to connect a wire with no resistance between G
and H, how much current would flow in the wire? Use this result to obtain the values of
short-circuit current IN and shunt resistance RN in the Norton equivalent circuit:
6. Consider the circuit below. Sketch the Thevenin equivalent circuit as viewed across
terminals A and B. Sketch the Norton equivalent circuit as viewed across terminals A
and B. Sketch the Thevenin equivalent circuit as viewed across terminals D and E when
looking to the right.
7. An R-L series circuit is connected to the output of a function generator with v(t) =
V0sinΩt. Find the current across the resister as a function of time.