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== Complex Numbers and Its Different Forms== | == Complex Numbers and Its Different Forms== | ||
| − | Complex Numbers can be written in three | + | Complex Numbers can be written in three forms or notations: |
1. Rectangular | 1. Rectangular | ||
| + | |||
2. Trigonometric | 2. Trigonometric | ||
| + | |||
3. Polar | 3. Polar | ||
| + | |||
| + | For example, the following vector can be described using three different forms: | ||
| + | |||
| + | [[Image:ComplexNo_ECE301Fall2008mboutin.JPG]] | ||
==Rectangular Complex Numbers== | ==Rectangular Complex Numbers== | ||
| + | |||
| + | Rectangular Complex Numbers are denoted by its horizontal and vertical components. | ||
Example: <math>X = 0.5 + \frac{\sqrt[]{3}}{2} j </math> | Example: <math>X = 0.5 + \frac{\sqrt[]{3}}{2} j </math> | ||
| − | |||
==Trigonometric Complex Numbers== | ==Trigonometric Complex Numbers== | ||
| + | |||
| + | Complex Numbers can also be expressed in trigonometric form. | ||
Example: <math>X = cos60^{\circ} + jsin60^{\circ}</math> | Example: <math>X = cos60^{\circ} + jsin60^{\circ}</math> | ||
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==Polar Complex Numbers== | ==Polar Complex Numbers== | ||
| − | + | Polar form is when a complex number is described by its length and angle. | |
| − | + | Example: <math>X = 1 < 60^{\circ} </math> | |
Latest revision as of 09:33, 4 September 2008
Contents
Complex Numbers and Its Different Forms
Complex Numbers can be written in three forms or notations:
1. Rectangular
2. Trigonometric
3. Polar
For example, the following vector can be described using three different forms:
Rectangular Complex Numbers
Rectangular Complex Numbers are denoted by its horizontal and vertical components.
Example: $ X = 0.5 + \frac{\sqrt[]{3}}{2} j $
Trigonometric Complex Numbers
Complex Numbers can also be expressed in trigonometric form.
Example: $ X = cos60^{\circ} + jsin60^{\circ} $
Polar Complex Numbers
Polar form is when a complex number is described by its length and angle.
Example: $ X = 1 < 60^{\circ} $
