Assignment 2 (Due date 2/2/2022)
Helpful readings for this homework: Chapter 1, Chapter 2.1-2.5
Exercise 2-1: For both networks shown below, find the voltage across and the current through each element
in the network. Be sure to make the polarity of the voltages and currents clear. Also, find the power
generated or dissipated by each network element, and show that energy is conserved in total over the
network.
V
+
-
R1
R2
I
R1
R2
R3
R3
Exercise 2-2: Using only 1k resistors, synthesize a resistor of 3/5k and a resistor of 5/3k. Use no more than
four 1k resistors in each case.
Exercise 2-3:
Exercise 2.7 from Chapter 2 of A&L (page 110).
Exercise 2-4:
Problem 2.7 from Chapter 2 of A&L (page 113).
Exercise 2-5: Find the equivalent resistance of the following networks as viewed from their ports. (Hint:
Try using an intuitive approach for this problem)
Excercise 2-6:
You are given a black box with three terminals, as shown below. The box is known
to contain five 1-ohm resistors.
Using an ohm-meter, you measure the resistance between the terminals to be the following:
A - B: 1.5 ohms
B - C: 3 ohms
A - C: 2.5 ohms
Exercise 2.7: Determine the resistance of each network shown below as viewed from its port.
R1
R2
R1
R2
R1
R3
R2
R3
R1
R2
R3
R3
Network (A)
Network (B)
Network (C)
Network (D)
Exercise 2.8: For both networks shown below, find the voltage across each resistor. (Hint:
make use of the results of Exercise 2.1.)
V
+
-
R2
R1
R2
R3
I
Network (A)
R1
R3
Network (B)
Exercise 2.9: Following the node method, develop a set of simultaneous equations for the
network shown at the top of the following page that can be used to solve for the three unknown node
voltages. Express these equations in the form
=
(1)
where G is a 3x3 matrix of conductance terms and S is a 3x1 vector of terms involving the sources.
You need not solve the set of equations for the node voltages.
1
Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007.
MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
e1
R2
V +-
R5
R1 e
2
R4 e
3
R3
R6
I
Exercise 2.10: Determine the power consumed by the 15Ω resistor in the network shown below.
(Hint: use the series/parallel simplification method shown in Section 2.4 of the course notes.)
Ω
10V +
-
Ω
Ω
3
Ω