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Lesson 9 – Mesh Current Analysis and Linearity. (Sections 32 and 33)(CLO 31 and 32)
Students generally do not have serious problems in understanding Mesh Current analysis.
You might
mention that it is the dual of Node Voltage analysis.
Mesh Current analysis cannot be applied to non
planar circuits and is often difficult to apply to OpAmp circuits studied later. Node Voltage analysis
does not have this limitation. Linearity is the basis of most circuits and electronic courses.
Getting
students aware of what constitutes linearity is important to their understanding and development as
good engineers.
MeshCurrent Analysis
There are several areas where students might have some early difficulties with mesh current analysis.
Loops versus meshes.
If you were to draw a fourpane circuit and ask students how many different
loops there were they might say five, but there are many more – thirteen, in all.
Loops are defined in
the text as “
A closed path formed by tracing through an ordered sequence of nodes without passing
through any node more than once
.”
A mesh is a special type of loop that does not enclose any elements
– although we appear to violate this rule when we discuss “super meshes”.
While one can write as
many KVL equations as there are loops there are only as many independent
KVL equations as there are
meshes.
Fortunately, students can readily determine the number of meshes by counting the “window
panes” in the circuit.
Each “window pane” hosts its own current.
Tell the students ALWAYS
to draw
each mesh current clockwise – this will help them recognize errors later on.
Use different colored
markers and claim that the electrons that travel around that mesh are so endowed with that color.
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 Spring '08
 MAURICIODEOLIVERIA
 Mesh Analysis, mesh currents, Voltage drop, mesh current analysis

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