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 30 Ω4 V 2 V + --+ i1 i2 Problem 2. Using nodal analysis derive and put in a matrix form the equations for the node voltages of the circuit v1 R2 + -Is Vs R1 R3 R4 v2v3 v4 Problem 3. Using the principle of superposition, calculate the current through resistor R3. R1 R2 R3Is 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. R1 R3 R2 R4 RL
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