Electric Circuits
Prof. Shayla Sawyer
Fall 2015
1) Equivalent Circuits/Circuit Reduction
R4
2k
I1
R5
4k
R2
1k
R6
4k
5E-3
R7
1k
I2
R1
3k
2.5E-3
R3
6k
R8
4k
R9
8k
R10
8k
V1
10V
R11
1k
0
a) Use source conversion 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. (Your equivalent circuits in a) and
b) can include c) to save space. It is best to draw each step of reduction just in case you make a mistake in order
to get partial credit!)
d) How much power is consumed on the source side of the circuit?
e) How much power is consumed on the load side of the circuit?
f) For the given sources, is the power to the load maximized?
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Electric Circuits
Prof. Shayla Sawyer
Fall 2015
2) Node/Mesh Analysis
R1
6k
R2
VA
3k
R3
5k
V1
R4
2k
3V
V2
7V
0
a) How many nodes are in the diagram above?
b) If nodal analysis is used, how many equations are needed to solve for VA? (Hint: There is an equation to help you
determine this...)
c) Using nodal analysis, determine the equation(s) needed to find the voltage at VA.
d) How many equations are needed to solve for VA using mesh analysis?
e) Using mesh analysis, determine the equation(s) needed to find the voltage at VA.
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Electric Circuits
Prof. Shayla Sawyer
Fall 2015
3) Node/Mesh Analysis
VA
I1
3mA
R1
2k
V3
4V
R3
R2
VB
2k
3k
V1
R4
1k
4V
V2
2V
0
a) In the above circuit, how many nodes are present?
b) How many nodes are constrained by voltage sources and ground? (also list contrained nodes and relationships, add
node labels to diagrams for identification purposes)
c) Write the equation(s) needed to determine unknown nodes and find the voltage at VB. (Redraw circuit and label
nodes for identification)
d) In the above circuit, how many mesh loops are present?
e) How many of those loops are constrained by current sources? (also list contrained nodes and relationships)
f) Write the equation(s) needed to determine unknown mesh loops and find the voltage at VB. (Redraw circuit and
label mesh loops for identification)
g) Which method is easier in this case?
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Electric Circuits
Prof. Shayla Sawyer
Fall 2015
4) Superposition
R1
5k
4V
V1
I1
R4
1E-3
2k
R3
R2
3k
4k
V2
8V
0
a) Use any method to determine the voltage across R2 (node, mesh, circuit reduction, source transformation...)
b) Find VR2 using superposition. (For each source, draw the schematic.)
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