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.
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