20 Jan EE215: Fundamentals of Elec
EE215: Fundamentals of Electrical Engineering
Homework 5
Posted: May 1, 2015
Due: May 11, 2015, 2:20 pm, in class
Important: On the first page of your homework, please give the following information:
Name: ________________ Student ID: ________________ Section: ________________
All your answers should show the essential steps towards finding the solution, not just the final
answer.
Problem 1: Use Norton’s theorem to formulate a general expression for the current i in terms of
the variable resistance R shown in the figure below.
Problem 2: Determine the value of the resistance R in the circuit below by each of the following
methods:
(a) Replace the part of the circuit to the left of terminals a-b by its Norton equivalent circuit.
Then use current division to determine the value of R.
(b) Analyze the circuit using mesh equations. Solve the mesh equations to determine the
value of R.
EE215: Fundamentals of Electrical Engineering
Homework 5
Problem 3: Find the load RL that will result in maximum power delivered to the load of the
circuit in the figures below. Also determine pmax delivered.
(a)
(b)
(c)
EE215: Fundamentals of Electrical Engineering
Homework 5
Problem 4: Determine the load RL such that the power transferred by this circuit is maximized.
Problem 5:
(A)Determine i, i1 and i2 in the circuits (a), (b) and (c) below.
(B) Circuit (a) is the superposition of circuits (b) and (c). In other words, circuit (a) can be
decomposed into circuits (b) and (c). Explain why the dependent source has to appear
twice, in both circuits (b) and (c), while the independent sources appear only once in
either circuit (b) or (c).
EE215: Fundamentals of Electrical Engineering
Homework 5
Problem 6: Determine the currents i2, i3, i5 and voltages v3, v4, v6 in the circuit below.
Problem 7: The output of the circuit below is vo. The inputs are v1 and v2. Express the output as a
function of the inputs.
EE215: Fundamentals of Electrical Engineering
Homework 5
Problem 8: The circuit shown in (a) can be reduced to the circuit shown in (b) using source
transformations and equivalent resistances. Determine the values of the source current isc and the
resistance R.
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