ECE 201- Final Exam Guide - Comprehensive Notes for the exam ( 41 pages long!)
Drexel
ECE 201
FINAL EXAM
STUDY GUIDE
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ECE 201 Foundations of Electric Circuits
Homework Set 1
1.1. For the circuit in Fig. 1.1:
a) Identify and label all distinct nodes (a, b, c, etc.)
b) Which of those nodes are extraordinary nodes?
c) Identify all combinations of 2 or more circuit elements that are connected in
series
d) Identify pairs of circuit elements that are connected in parallel
Fig. 1. Circuit for Problem 1.1
Solution
Fig. 1.1(a)
a) Nodes are identified in Fig. 1.1(a)
b) Nodes a, b and d are extraordinary – at least 3 branches meet
c) R4 and R5 are in series – a single color connects them without branches
d) R1 and V1 share common colors at each end, so they are in parallel
1.2. Determine the current i(t) flowing through a certain device if the cumulative charge
that has flowed through it up to time t is given by
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2!
a) q(t) = −0.45 t3 μC
b) q(t) = 12 sin2(800πt) mC
c) q(t) = −3.2 sin(377t) cos(377t) pC
d) q(t) = 1.7 t [1−e−1.2t ] nC
a)
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c)
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1.3. The plot in Fig. 1.3 displays the cumulative amount of charge q(t) that has entered
a certain device up to time t. What is the current at
a) t = 1 s
b) t = 3 s
c) t = 6 s
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Document Summary
Determine the current i(t) flowing through a certain device if the cumulative charge that has flowed through it up to time t is given by. 1: q(t) = 0. 45 t3 c, q(t) = 12 sin2(800 t) mc, q(t) = 3. 2 sin(377t) cos(377t) pc, q(t) = 1. 7 t [1 e 1. 2t ] nc. 121 800 10. + = 2 12 800 10. + 800 800. = 3. 2 377 cos2377t + 3. 2 377 sin2377t 10. e1. = 1. 7 1 e 1. 2 + 1. 7t 1. 2 e 1. 2. Solution: v2 = 48 v this voltage is referenced to ground. From part (b), v34 = 24 v, which means v3 is above v4 by 24 v. hence, v3 = +24 v. From the earlier configuration, v2 was 40 v above v4. Hence, in the new configuration v5 = 12 v. With b now ground, d is -9 v: v above b.
