October 8, 2009
ECE 2100
Prelim # 1
Fall 2009
This exam is closed book but with 1 page (8.5 by 11 inches) full of notes of your choosing.
Use calculator to get numerical answers. Show all work! Take 90 minutes.
1. (20 pts)
Find the equivalent resistance which appears at terminals a and b.
2. (20 pts)
Consider the following circuit with two mesh currents labeled,
I
1
and
I
2
.
a)
From the mesh which contains
I
1
, write down the corresponding mesh
equation.
b)
Determine the mesh current
I
2
in terms of
V
Δ
.
c)
Using the results from part
b)
, ﬁnd a relationship which relates the two
mesh currents,
I
1
and
I
2
.
d)
Now using the results from part
c)
and part
a)
, solve these simultaneous
equations, and ﬁnd relationships for each mesh current.
e)
With the mesh currents known, ﬁnd a relationship for the output voltage
(
V
out
).
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October 8, 2009
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3. (20 pts)
Determine the Th´
evenin equivalent circuit of the circuit below from terminals
a
and
b
. Draw the circuit and label (with numbers) the Th´
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