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Material Type: Exam; Class: Circuit Analysis I; Subject: Engineering; University: Grand Valley State University; Term: Fall 2005;
Typology: Exams
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Grand Valley State University Prof. Bogdan Adamczyk Exam 3
Name:
This is a closed book, closed notes exam. Calculators are allowed.
Provide complete solutions (not just the answers) to all problems. The final answers will constitute only a part of your grade; the majority of it will be based on the process (explanation) of how the answers have been obtained. This means: Explain in words what you are doing and why while showing the calculations. The numerical results (with 4 digits after the decimal point) should include proper units.
♦
Prior to t = 0 the circuit has been in the steady-state condition. At t = 0 the switches move from positions A to positions B.
t = 0
3K
v 1 (t) 4K
v(t)
i(t)
t = 0 A
20 mA (^) 60 V
Determine:
Grand Valley State University Prof. Bogdan Adamczyk Exam 3
Name: Solution:
First, determine the initial voltage across the capacitor. Prior to t = 0 , the relevant circuit can be redrawn as
i(0-)
o pen circuit 20 mA 4K
Figure 2.
According to current divider
After t = 0 the circuit becomes
v(t),V 0
i(t)
v 1 (t)
Figure 2.
Grand Valley State University Prof. Bogdan Adamczyk Exam 3
Name: Therefore,
and
Now, return to Figure 2.3, redrawn here
v(t),V 0
i(t)
v 1 (t)
Figure 2.
KVL in the leftmost loop yields
or