(→Phasors) |
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There are 3 forms: | There are 3 forms: | ||
| − | 1. M*exp(j*φ) <--Exponential Form | + | 1. M*exp(j*φ) <--Exponential Form |
| − | 2. A+j*B <--Phasor Form | + | 2. A+j*B <--Phasor Form |
| − | 3. M∠φ° <--Polar Form | + | 3. M∠φ° <--Polar Form |
| − | To get from one | + | To get from one form and back again observe: |
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φ = arctan(B/A) | φ = arctan(B/A) | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
A = Mcosφ | A = Mcosφ | ||
| − | B | + | B = Msinφ |
| − | + | Where A lies on the real axis and B upon the imaginary | |
Latest revision as of 08:20, 5 September 2008
Using your Imagination is Cool
-Wait a minute--they give phasers to math guys? Is that safe? And where can I get one?
Definition (from Wiki)
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
Phasors
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
