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Massachusetts institute of Technology
Department of Nuclear Science and Engineering
Department of Electrical Engineering and Computer Science
22.071, 6.071 - Introduction to Electronics, Signals and Measurement
Spring 2006
Homework 3
Due 3/1/06
Problem 1.
Find the currents i1 and i2 for the following circuit. What is the magnitude and direction
of the current flowing through the 30Ω resistor?
10 Ω
20 Ω
+
+
i1
4V
i2
30 Ω
2V
-
-
Problem 2.
Using nodal analysis derive and put in a matrix form the equations for the node voltages of the circuit v1
R2
R1
R3
Is
v3
v2
R4
Vs
+
v4
Problem 3.
Using the principle of superposition, calculate the current through resistor R3. R2
Is
R1
R3
+
Vs
-
For the same circuit, calculate the Thevenin equivalent resistance seen by resistor R3.
Also find the Thevenin voltage and the Norton current seen by load R3.
Problem 4.
For the Wheatstone bridge circuit determine the Thevenin equivalent circuit seen by
resistor RL.
R3
R1
RL
Is
R2
R4
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