Given the complex numbers A 1 = 6 ∠ 30 and A 2 = 4 + j 5 , (a) convert A 1 to rectangular form: (b) convert A 2 to polar and exponential form: (c) calculate A 3 = ( A 1 + A 2 ) , giving your answer in polar form: (d) calculate A 4 = A 1 A 2 , giving your answer in rectangular form: (e) calculate A 5 = A 1 / ( A 2 * ) giving your answer in exponential form.
Given the complex numbers A 1 = 6 ∠ 30 and A 2 = 4 + j 5 , (a) convert A 1 to rectangular form: (b) convert A 2 to polar and exponential form: (c) calculate A 3 = ( A 1 + A 2 ) , giving your answer in polar form: (d) calculate A 4 = A 1 A 2 , giving your answer in rectangular form: (e) calculate A 5 = A 1 / ( A 2 * ) giving your answer in exponential form.
Solution Summary: The author explains the rectangular form of a complex number A_1 and the exponential and polar forms of complex numbers.
Given the complex numbers
A
1
=
6
∠
30
and
A
2
=
4
+
j
5
, (a) convert
A
1
to rectangular form: (b) convert
A
2
to polar and exponential form: (c) calculate
A
3
=
(
A
1
+
A
2
)
, giving your answer in polar form: (d) calculate
A
4
=
A
1
A
2
, giving your answer in rectangular form: (e) calculate
A
5
=
A
1
/
(
A
2
*
)
giving your answer in exponential form.
Practice Exercise 1.1
Answer the following accordingly:
1. (3-j4) + (10244) then convert to
rectangular form
2. (22000+j13)/(32-17) then convert to
rectangular form
3. Convert 95-j12 to polar form
(a) Determine the value of Z, in the circuit of Figure Q3(a) for maximum power
transfer.
Find the impedance Zab in the circuit seen in figure. Suppose that R = = 4.5 2.
Part A
Zab =
Part B
Ω
Zab
Zab
R
ww
Ω
-182
카
ZAN
20
M
Express Zab in polar form.
Express your answer in ohms to three significant figures. Enter your answer using angle notation. Express
argument in degrees.
ANSWER:
40 0
Express Zab in rectangular form.
Express your answer in ohms to three significant figures. Enter your answer in rectangular form.
ANSWER:
m
102
-/200
j200
Chapter 2 Solutions
MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th
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