Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.002 - Electronic Circuits
Spring 2007
Homework #1
Handout S07-011
Issued 02/08/2007 - Due 02/16/2007
Helpful readings for this homework: Chapter 1, Chapter 2.1-2.5
Exercise 1-1:
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
R1
I
R3
R2
R3
Exercise 1-2:
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 1-3:
Exercise 2.7 from Chapter 2 of A&L (page 110).
Problem 1-1:
Problem 2.7 from Chapter 2 of A&L (page 113).
Problem 1-2:
Find the equivalent resistance of the following networks as viewed from their ports.
(Hint: Try using an intuitive approach for this problem)
3
-- R
2
R
2R
R
3
-- R
2
R
R
R
R
R
R
2R
R
R
2R
3
--R
2
3
--R
2
2R
3
--R
2
2R
3
--R
2
2R
R
R
R
R
(resistor pattern cont.)
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].
Problem 1-3:
You are given a black box with three terminals, as shown below. The box is known to
contain five 1-ohm resistors.
A
B
C
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
Determine the configuration of the five resistors inside the box.
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].