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 Nortonâ€™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

.