ECE 280
Exam 2
NAME
:
________________________________________________________________
You may
NOT
use a calculator of any type.
Answer all questions clearly.
Show all work for credit
.
1.
,
1
1
z
j
=
+
2
2
5
j
z
e
π
=
.
Evaluate
(a)
1
2
z z
(b)
*
1
*
2
z
z
2.
If
3
6
j
z
e
π
=
,
evaluate
jz
e
.
(a)
Express
z
in rectangular form.
(b)
Calculate the magnitude of
jz
e
.
3.
(a)
Calculate the four complex 4
th
roots of unity
( )
1
4
1
.
(b)
Plot all roots on the complex plane.
(c)
Express all 4 roots in polar and rectangular forms.
4.
(a)
Solve the polynomial equation

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