Question
Asked Nov 24, 2019
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Two complex numbers are given as

 

E=3+j4 and F=4+j3

 

Express E*F in polar form.

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Expert Answer

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Step 1

Any complex number having a rectangular form x=a+jb can be expressed in polar form with the magnitude and the phase angle of the complex number given as:

Magnitude:x a +b
-> (1)
Phase angle:Zr tan"
> (2)
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Magnitude:x a +b -> (1) Phase angle:Zr tan" > (2)

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Step 2

In this case, the first and the second complex number are given in rectangular form as

E 3+j4
F 4+j3
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E 3+j4 F 4+j3

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Step 3

Using equation (1) and (2), the magnitude and the phase of the complex number E becomes

...
E = V32 +42 =5
4
= 53. 13
3
ZE = tan
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E = V32 +42 =5 4 = 53. 13 3 ZE = tan

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