(New page: == Uses of Your Imagination == -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 ar...) |
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To get from one form and back again observe: | 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 | ||
Latest revision as of 08:26, 5 September 2008
Uses of Your Imagination
-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
