(→Energy) |
(→Power) |
||
Line 12: | Line 12: | ||
<br><br><br><math>P =\frac{1}{2-1} \int_{1}^{2} |3x|^2\ dt \!</math> | <br><br><br><math>P =\frac{1}{2-1} \int_{1}^{2} |3x|^2\ dt \!</math> | ||
− | <br><br><math> P = [ | + | |
+ | <br><br><br><math>P =\frac{1}{2-1} \int_{1}^{2} 9x^2\ dt \!</math> | ||
+ | |||
+ | <br><br><math> P = [3x^3]_{t=1}^{t=2} = 21</math> |
Revision as of 05:10, 5 September 2008
I chose to compute the energy and power for the signal f(t) = 3x.
Energy
$ E = \int_{T2}^{T1} |x(t)|^2\ dt \! $
$ E = \int_{1}^{2} |3x|^2\ dt \! $
$ E = \int_{1}^{2} 9x^2\ dt \! $
$ E = [3x^3]_{t=1}^{t=2} = 21 $
Power
$ P =\frac{1}{t2-t1} \int_{t1}^{t2} |f(t)|^2\ dt \! $
$ P =\frac{1}{2-1} \int_{1}^{2} |3x|^2\ dt \! $
$ P =\frac{1}{2-1} \int_{1}^{2} 9x^2\ dt \! $
$ P = [3x^3]_{t=1}^{t=2} = 21 $