1
ECE 3710
–
Circuits and Electronics
Assignment #4
Complete the following practice midterm.
TERMINOLOGY, RELATIONS & EQUATIONS (20 points)
Problem 1
(10 points): Given the following definition of the quality factor, derive
simplified equations for the following cases when a sinusoidal input is applied across
each.
period
one
in
dissipated
Energy
stored
energy
Peak
2
π
=
Q
(a) An inductor, L, with a parasitic series resistance, R
L
; find the quality factor in terms of
frequency, inductance and resistance.
Show all work.
(b) A capacitor, C, with a parasitic parallel resistance, R
C
; find the quality factor in terms
of frequency, capacitance and resistance.
Show all work.
Problem 2
(10 points): Assume a new device has been discovered that acts like a
negative resistance (V/I = R)
, and answer the following question.
If a phasor voltage of
the form V
m
e
j90°
is applied at a frequency of 20 kHz, what is the
timedomain current
across the device, given that the magnitude of the current is I
m
?
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METHODS OF ANALYSIS (40 points)
In the following problems, students are encouraged to simplify the circuit.
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 Spring '07
 Haris
 Alternating Current, Resistor, 75%, 60°, 100 rad

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