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MAE140  Linear Circuits  Fall 09
Final, December 7
Instructions
(i) This exam is open book. You may use whatever written materials you choose, including your class
notes and textbook. You may use a hand calculator with no communication capabilities
(ii) You have 170 minutes
(iii) Do not forget to write your name, student number, and instructor
(iv) On the questions for which we have given the answers, please provide detailed derivations.
L
L
R
L
R
L/2
A
B
(a) Question 1, Part I
R
C
L
D
C
i(0)
L
v(0)
C
(b) Question 1, Part II
Figure 1: Circuit for Question 1.
1.
Equivalent Circuits
Part I:
[5 points] Assuming zero initial conditions, ﬁnd the impedance equivalent to the circuit in
Figure 1(a) as seen from terminals A and B. The answer should be given as a ratio of two poly
nomials.
Part II:
[5 points] Assuming that the initial conditions of the inductor and capacitor are as indicated
in the diagram, redraw the circuit shown in Figure 1(b) in the sdomain. Then use source trans
formations to ﬁnd the sdomain Norton equivalent of this circuit as seen from terminals C and D.
(
Hint:
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 Spring '10
 VladoLubarda

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