(→Calculating the Energy of a Function) |
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| − | <math>=\int_0^{2\pi}(1-cos(2t))dt</math> | + | <math>E=\int_0^{2\pi}(1-cos(2t))dt</math> |
| − | <math>=(t-\frac{1}{2}sin(2t))|_{t=0}^{t=2\pi}</math> | + | <math>E=(t-\frac{1}{2}sin(2t))|_{t=0}^{t=2\pi}</math> |
| − | <math>=( | + | <math>E=(t=2\pi}</math> |
Revision as of 16:00, 5 September 2008
Calculating the Energy of a Function
To calculate the energy of a function, use the following equation.
$ E=\int_{t1}^{t2}{|f(t)|^2dt} $
For clarity, follow the example below.
$ E=\int_{0}^{2\pi}{|2sin(t)|^2dt} $
$ E=2\int_{0}^{2\pi}{|sin(t)|^2dt} $
$ E=\int_0^{2\pi}(1-cos(2t))dt $
$ E=(t-\frac{1}{2}sin(2t))|_{t=0}^{t=2\pi} $
$ E=(t=2\pi} $
