What is the magnitude of two complex numbers multiplied together,

leciazyg

leciazyg

Answered question

2022-03-03

What is the magnitude of two complex numbers multiplied together, Z1Z2?
Z1=6.77+j0.09,Z2=3.27+j6.98
Three significant digits, fixed point notation.

Answer & Explanation

Ulgelmorgs

Ulgelmorgs

Beginner2022-03-04Added 8 answers

Z1=6.77+j×0.09
Z2=3.27+6.98j
|Z1|=(6.77)2+(0.09)2
|Z1|=45.841
|Z1|=6.77
|Z1|=6.77
|Z2|=(3.27)2+(6.98)2
|Z2|=59.4
|Z2|=7.71
|Z1Z2|=|Z1||Z2|
|Z1Z2|=6.77×7.71
|Z1Z2|=52.2

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