Electric Circuits
ECSE 2010
Prof. Shayla Sawyer
HW02
Spring 2015
1) Equivalent Circuits/Circuit Reduction
R1
4k
R2
4k
V2
4V
R6
2k
V1
10V
R3
5k
R4
3k
R5
4k
0
In the above circuit determine:
a) An equivalent source (a single voltage source)
b) The equivalent resistance seen by the combined voltage source
c) The current through the voltage souce, V1
d) The current through the resistor R6
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Electric Circuits
ECSE 2010
Prof. Shayla Sawyer
HW02
Spring 2015
2) Equivalent Circuits
R5
4k
R1
2k
8
V1
R2
4k
4
V2
R4
16k
I1
2E-3
R3
2k
R8
3k
R6
6k
R7
12k
R9
1k
0
a) Use source conversion techniques to find a single equivalent voltage source and source resistor for the
circuit to the 'left' of the dashed line.
b) Find a single equivalent current source and source resistor for the circuit to the 'left' of the dashed line.
c) Find the equivalent load resistor for the circuit to the 'right' of the dashed line.
d) Draw the overall equivalent circuit with the single voltage source.
e) How much power is consumed on the source side of the circuit?
f) How much power is consumed on the load side of the circuit?
g) For the equivalent circuit, is the power to the equivalent load maximized?
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Electric Circuits
ECSE 2010
Prof. Shayla Sawyer
HW02
Spring 2015
3) Node/Mesh Analysis
V2
V1
i1
i2
i3
a) Apply node analysis to determine V1 and V2
b) Apply mesh analysis to determine i1, i2, and i3
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Electric Circuits
ECSE 2010
Prof. Shayla Sawyer
HW02
Spring 2015
4) Node/Mesh Analysis
R3
4k
V2
2
R5
4k
R2
8
V1
Va
2k
R4
2k
R1
1k
V3
4
0
a) In the above circuit, how many nodes are present?
How many nodes are constrained by voltage sources and ground?
How many unknown voltage nodes does that leave? (Redraw circuit and label nodes for identification)
b) Using nodal analysis, determine the equation(s) needed to find the voltage at Va.
c) Solve for Va
d) In the above circuit, how many loops are present?
How many of those loops are constrained by current sources?
How many unknown current loops does that leave?
e) Using mesh analysis, determine the equation(s) needed to find the voltage at Va.
f) Solve for VA (apply Ohm's law)
g) Which method is easier in this case?
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Electric Circuits
ECSE 2010
Prof. Shayla Sawyer
HW02
Spring 2015
5) Superposition
R3
R5
3k
2k
I1
4E-3
i1
V1
3
R1
i2
2k
V2
4
R2
4k
i3
R4
1k
0
a) How many nodes are in the above circuit?
b) How many mesh loops are in the above circuit?
c) Use either mesh or node analysis to determine the votlage across R2.
d) For each source, draw the circuit you would see when applying superposition.
e) For each circuit in d) find the voltage across R2.
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