so I have a question, find the suitable complex conjugates to determine the magnitude of; 2-j4/3+j5 As I understand I can show both variables as: 2-j4/3+j5 = /5-3i =5+3i 2-j4/3+j5 = /5-3i How can I determine the magnitude? Is there further multiplication or addition to be made to these two variables?
The magnitude can be determined the same way as it would be for any other rectangular coordinate by finding the length of the hypotenuse of a triangle with sides of lengths x and y:
Ok, I have completley misunderstood this. I can't understand how this is broken down,. I thought I cross multiply?
Please clarify one thing so that I can be sure I am not misleading you. Does that mean "(2-j4) divided by (3+j5)"? And are the numerator and the denominator complex numbers, with both a real and an imaginary part? I would suggest that you take a look at Khan Academy's videos on complex numbers: https://www.khanacademy.org/math/precalculus/imaginary_complex_precalc/multiplying-dividing-complex. They cover multiplying and dividing complex numbers, as well as calculating their conjugates.
Once again, you appear to be being very sloppy with your notation. What you have written above is You setting yourself up for problem after problem until you start being precise and correct with your notation. What you (almost certainly) meant to state was (2-j4)/(3+j5) which is What variables? You don't have any variables at all. This makes absolutely no sense. What is "/5"? I suggest you read up on working with complex numbers. There are lot's of webpages devoted to this. The one that I link in your other thread (repeated below for convenience) is one place you might start. http://www.dragonwins.com/domains/getteched/MathReview.htm
Let's walk through putting this into rectangular form Multiply numerator and denominator by the complex conjugate of the denominator (see the link in my prior post if you don't know what a complex conjugate is). Multiply out the polynomials in the numerator and denominator Now leverage the fact that j²=-1, by definition Now collect real and imaginary components in both the numerator and denominator
Hi, A simple way to explain what the complex conjugate is, is just to say that the sign of the imaginary part changes. A couple examples of finding the conjugate: 1+2j => 1-2j 1-2j => 1+2j 3.45+7.3j => 3.45-7.3j -29-86j => -29+86j a+bj => a-bj a-bj => a+bj In each case all we did was change the sign of the imaginary part. Note also that the conjugate of the conjugate is the original back again: conjugate(conjugate(X))=X