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Quiz 1 Answers
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.
L
L
p
p
R
fL
f
R
I
LI
Q
π
π
2
1
2
1
2
1
2
2
2
=
=
(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.
C
L
p
p
fCR
f
R
V
CV
Q
π
π
2
1
2
1
2
1
2
2
2
=
=
Problem 2
(10 points): Electrical Engineering often focuses on the voltagecurrent
relationships for devices connected in loops.
Assume a new device has been discovered
that acts like a
negative resistance
, and answer the following questions.
(a)
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This note was uploaded on 08/31/2010 for the course ECE 3710 taught by Professor Haris during the Spring '07 term at Georgia Institute of Technology.
 Spring '07
 Haris

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