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No, quite wrong actually.j is just a variable in this case, correct?
In our example:
if d = 0.09 - 3.14j then d*, the complex conjugate of d, is
d* = 0.09 + 3.14j
and
dd* = (0.09 - 3.14j)*(0.09 + 3.14j)
= 0.0081 + 0.2826j - 0.2826j - 9.8596j²
= 0.0081 + 9.8596
= 9.8677
That is the denominator -- it's a real number, no imaginary part.
Now in order to keep everything the same we need to multiply the numerator
by the complex conjugate of the denominator. If we started with n/d
and multiply both top and bottom by the complex conjugate of d we
have nd*/dd*, and clearly d*/d* = 1
50*(1.91 + 3.14j)*(0.09 + 3.14j)
= 50*(0.1719 + 5.9974j + 0.2826j + 9.8596j²)
= 50*(-9.6867 + 6.28j)
So the final result should be
50*(-9.6877 + 6.28j) / 9.8677
= -49.0879 + 31.821j
which rounds nicely to 3 significant figures as -- ta da
= -49.1 + 31.8j
Google "imaginary numbers".Hello,
j is just a variable in this case, correct?
Google "imaginary numbers".
j is the imaginary operator, also represented by i.
j=√(-1).