A complex number A is written as A = a+ib Rewrite A in polar from, [A|e¬i® and of course find [A| and o in terms of a and b.

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Rewrite A in polar from, [A|e¬i¢ and of
A complex number A is written as A =
course find |A| and in terms of a and b.
-ip
a+ib
Transcribed Image Text:1 Rewrite A in polar from, [A|e¬i¢ and of A complex number A is written as A = course find |A| and in terms of a and b. -ip a+ib
Expert Solution
Step 1

Given,

A=1a+ib

Simplifying we have,

A=1a+ib×a-iba-ib=a-iba2+b2=aa2+b2-iba2+b2

Thus,

A=aa2+b22+ba2+b22=a2+b2a2+b22=1a2+b2

ϕ=tan-1ba2+b2aa2+b2=tan-1ba

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