Electrical Engineering ⇒ Topic : Conjugate of a Complex Number

Nicholas
 
Conjugate of a Complex Number Two complex numbers (or phasors) are said to be conjugate if they differ only in the algebraic sign of their quadrature components. Thus the conjugate of 2 +j 3 is 2  j 3. The conjugate of  4 +j 3 is  4  j 3. In the polar form, conjugate of 5 ∠ 30° is 5 ∠ 30° and conjugate of 10 Z 40° is 10 ∠ 40°. It is a usual practice to use an asterik (*) to indicate the conjugate. Consider a complex number A = a + jb = A ∠ θ. Then its conjugate will be A* = a  jb =A ∠0. The two conjugate numbers are shown graphically in Fig. (a). The conjugate numbers have the following properties
figure (a) The conjugate of a complex number is used in determining the apparent power of a circuit in complex form  
 
!! OOPS Login [Click here] is required for more results / answer