PHASORS Part 2 Asst. Lec. Sadiq M.B Fakhruldeen AC ch 14-b.pptx

PHASORS
Part 2
Asst. Lec.
Sadiq M.B Fakhruldeen

1. PHASORS Part 2 Asst. Lec . Sadiq M.B Fakhruldeen Imam Ja'afar Al-Sadiq University Computer Technical Engineering First Class

2. COMPLEX NUMBERS A complex number represents a point in a two-dimensional plane located with reference to two distinct axes. This point can also determine a radius vector drawn from the origin to the point. The horizontal axis is called the real axis, while the vertical axis is called the imaginary axis.

3. COMPLEX NUMBERS FIG. 14.38 Defining the real and imaginary axes of a complex plane.

4. RECTANGULAR FORM The format for the rectangular form is: FIG. 14.40 Example 14.13(a).

5. RECTANGULAR FORM

6. POLAR FORM The format for the polar form is:

7. POLAR FORM FIG. 14.44 Demonstrating the effect of a negative sign on the polar form.

8. CONVERSION BETWEEN FORMS FIG. 14.48 Conversion between forms.

9. MATHEMATICAL OPERATIONS WITH COMPLEX NUMBERS Complex Conjugate Reciprocal Addition Subtraction Multiplication Division

10. MATHEMATICAL OPERATIONS WITH COMPLEX NUMBERS FIG. 14.53 Defining the complex conjugate of a complex number in rectangular form. FIG. 14.54 Defining the complex conjugate of a complex number in polar form.

11. Division Multiplication Subtraction Addition