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.