W09 314 HW01 all - EECS 314 Winter 2009 Homework set 1...

EECS 314 Winter 2009 Homework set 1
Student’s name ___________________________ Discussion section # _______
(Last, First, write legibly, use ink) (use ink)
Instructor is not responsible for grading and entering scores for HW papers lacking clear
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© 2009 Alexander Ganago Page 1 of 4
Scores for the HW set:
Problem 1 2 3 4 5 6 7 Total
Score
Problem 1 KCL, KVL, and the Passive Sign Convention
The Assignment
Consider the circuit shown on this
diagram.
Note that nodes A, C and B are all
connected with wires thus they are in fact
one node!
Some currents and some voltages in the
circuit are given in the table below and on
the diagrams on the following page; your
challenge is to calculate the unknown
voltages and currents, as well as the power
absorbed by each element.
Element 1 2 3 4 5 6 7
Current
through
4 A 2 A 1 A 5 A
Voltage
across
48 V 6 V 12 V
Power
absorbed
Part 1 2 3 Total
Score

EECS 314 Winter 2009 Homework set 1
Student’s name ___________________________ Discussion section # _______
(Last, First, write legibly, use ink) (use ink)
Instructor is not responsible for grading and entering scores for HW papers lacking clear
information in the required fields above
© 2009 Alexander Ganago Page 2 of 4
Part 1 (10 points)
Currents through 4 elements out of 7 are given (see the diagram below, on the right).
Use KCL to calculate the unknown currents. Record your results in the table above (do
not omit the units of measure). Choose the signs according to your reference marks.
Show the magnitudes and directions of all currents on the diagram below.
Show your work.

EECS 314 Winter 2009 Homework set 1
Student’s name ___________________________ Discussion section # _______
(Last, First, write legibly, use ink) (use ink)
Instructor is not responsible for grading and entering scores for HW papers lacking clear
information in the required fields above
© 2009 Alexander Ganago Page 3 of 4
Problem 1 Part 2 (15 points)
Voltages across 3 elements out of 7 are given on the diagram.
Use KVL to calculate the unknown voltages labeled V1, V2, V3, and V5, with the
reference marks already shown on the diagram.
Record your results in the table above (do not omit the signs and the units of measure).
Show your work.

EECS 314 Winter 2009 Homework set 1
Student’s name ___________________________ Discussion section # _______
(Last, First, write legibly, use ink) (use ink)
Instructor is not responsible for grading and entering scores for HW papers lacking clear
information in the required fields above
© 2009 Alexander Ganago Page 4 of 4
Problem 1 Part 3 (20 points)
Use the given currents and voltages along with your results of Parts 1 and 2 to calculate
the power absorbed by each circuit element.
Apply the Passive Sign Convention (negative power is supplied to the circuit).
Record your results in the table above (do not omit the signs and the units of measure).
Verify the power balance (the algebraic sum of all powers must equal zero).