HW1.3 Nicholas Browdues - Complex Number Operations and Facts ECE301Fall2008mboutin - Rhea

Using your Imagination is Cool

-Wait a minute--they give phasers to math guys? Is that safe? And where can I get one?

In engineering, the complex numbers are an extension of the real numbers obtained by adjoining an imaginary unit, denoted j, which satisfies:

   j^2=-1

There are 3 forms:

  1. M*exp(j*φ)    <--Exponential Form

  2. A+j*B         <--Phasor Form

  3. M∠φ°          <--Polar Form

To get from one form and back again observe:

   M = sqrt{A^2 + B^2}

   φ = arctan(B/A)

   A = Mcosφ

   B = Msinφ

Where A lies on the real axis and B upon the imaginary