ECE 2300 – CIRCUIT ANALYSIS
HOMEWORK #9
1. A complex number with a phase between 90˚ and 180˚ (in the 2
nd
quadrant) is added to a
second complex number with a phase between –90˚ and –180˚ (in the 3
rd
quadrant).
What is the
sign of the real part of this sum?
2.
A complex number with an arbitrary real part and a positive imaginary part is multiplied by a
second complex number that is imaginary, with a negative coefficient for
j
.
What can you say
about the product?
3.
Solve the following equation for
m
and
n
.
You should assume that
m
and
n
are real numbers.
The variable
n
is an angle, and you should show your units.
(
29
67.3
4.794
1.875
23
m
j
j
n
+
=

∠
4.
Find the nonzero value of
ω
for which the expression for
Z(ω)
given is purely real.
Give your
answer as a function of
R
,
L
, and
C
.
(
29
(
29
(
29
(
29
(
)
.
1
R
j
L
j
C
Z
1
R
j
L
j
C
ϖ
ϖ
ϖ
ϖ
ϖ
+
=
+
+
5.
In the circuit given, the voltage source
v
S
(t)
is made up of the summation of several frequency
components.
The circuit is operating in steady state.
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 Spring '08
 Staff
 Complex number, Electrical impedance, kΩ

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