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Sample problems
Topic: Mesh analysis
Statement of problem
(a) Use the mesh current method to solve for
i
Δ
in the circuit in the figure below.
+

8mA
980
Ω
1.8
k
Ω
4.7
k
Ω
3.3
k
Ω
i
Δ
200
i
Δ
(b) Find the power delivered by the independent current source.
(c) Find the power delivered by the dependent voltage source.
Solution
(a) The definition of mesh currents is shown in the figure below.
+

8mA
i
v
+
−
Since the current in the left mesh is known already (8mA), there is only one mesh current
equation, the equation for the right mesh.
3.3
(
8
) 1.8
200 (
8
)
4.7
0
ki
m
A
k
i
i
m
A
k
i
Ω× −
+
Ω× +
× −
+
Ω× =
The current in the right mesh is
2.8
im
A
=
Therefore the unknown current is
8
5.2
i
i
mA
mA
Δ
=
−=
−
The minus sign means the direction of current is opposite to the reference.
(b) The power delivered by the independent current source is equal to the product of its
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This note was uploaded on 10/30/2011 for the course EE 215 taught by Professor Unknown during the Spring '05 term at University of Washington.
 Spring '05
 Unknown
 Electrical Engineering

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