Evaluate the following complex numbers and leave your results in

deliredejoker7m

deliredejoker7m

Answered question

2021-11-23

Evaluate the following complex numbers and leave your results in polar form: (a) 530(6j8+5602+j)
(b) (1060)(3550)(2+j6)(5+j)

Answer & Explanation

Stephanie Mann

Stephanie Mann

Beginner2021-11-24Added 25 answers

Step 1 
As a general rule, complex numbers are added or subtracted in rectangle form, whereas multiplication and division are accomplished in polar form.
(a) 530(6j8+3602+j)=530(6j8+3602.23626.565) 
=530(6j8+1.341633.43) 
=530(6j8+1.1196+j0.7392) 
=530(7.13j7.261) 
=530(10.17645.52) 
=50.8815.52 
Step 2 
(b) (1060)(3560)(2+j6)(5+j)=(1060)(3550)3+j5 
=(1060)(3550)5.83120.96 
=60.02110.96

Lauren Fuller

Lauren Fuller

Beginner2021-11-25Added 14 answers

a) (530)(6j8+1.1197+j0.7392)=(530)(7.13j7.261)
=(530)(10.17645.52)=50.8815.52
b) (1060)(3550)(2+j5)=(5.83120.96)=60.02110.96

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