Complex Number

real numbers

The mathematics used in Electrical Engineering to add
together resistances, currents or DC voltages use

Complex Numbers

represent points in a two dimensional complex or s-plane that are referenced to two distinct axes.

real axis

Horizontal Axis

imaginary axis

Vertical Axis

1. Re(z)
2. Im(z)

The real and imaginary parts of a complex number are abbreviated as {1} and {2}, respectively.

1. Active Component
2. Reactive Component

Complex numbers that are made up of real ({1}) and imaginary ({2})

Conjugate

a complex number is found by reversing the algebraic sign of the complex numbers imaginary number only while keeping the algebraic sign of the real number the same and to identify the complex conjugate of z the symbol z is used.

Rectangular form

best for adding and subtracting complex numbers

polar form

dividing. To multiply together two vectors in polar form, we must first multiply together the two modulus or