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| − | + | [['''Energy and Power'''_ECE301Fall2008mboutin]] | |
| − | + | ---- | |
| − | + | ||
| − | + | <math>x(t)=x^2\!</math> | |
| − | + | and the limits are from 1 to 3. | |
| − | + | ||
| − | + | ||
| + | '''Energy calculation''' | ||
| + | <math>E=\int_{1}^{3}\ |x ^2|^2\, dx , \,\!</math> | ||
| + | |||
| + | <math>E=\int_{1}^{3}\ x ^4\, dx , \,\!</math> | ||
| + | |||
| + | <math>E=\frac{1}{5}\!</math> *<math>((3^5)\!</math> - <math>(1^5))\!</math> | ||
| + | |||
| + | <math>E=\frac{1}{5}\!</math>*<math>(243-1)\!</math> | ||
| + | |||
| + | <math>E=48.4\!</math> | ||
| + | |||
| + | '''Power calculation''' | ||
| + | |||
| + | <math>P=\frac{1}{(3-1)}\int_{1}^{3}\ |x^2|^2\,dx,\,\!</math> | ||
| + | |||
| + | <math>P=\frac{1}{2}\int_{1}^{3}\ x ^4\, dx , \,\!</math> | ||
| + | |||
| + | <math>P=\frac{1}{2}\!</math> * <math>\frac{1}{5}</math> *<math>((3^5)\!</math> - <math>(1^5))\!</math> | ||
| + | |||
| + | |||
| + | <math>P=\frac{1}{10}\!</math>*<math>(243-1)\!</math> | ||
| + | |||
| + | |||
| + | <math>P=24.2\!</math> | ||
Latest revision as of 17:30, 5 September 2008
'''Energy and Power'''_ECE301Fall2008mboutin
$ x(t)=x^2\! $
and the limits are from 1 to 3.
Energy calculation
$ E=\int_{1}^{3}\ |x ^2|^2\, dx , \,\! $
$ E=\int_{1}^{3}\ x ^4\, dx , \,\! $ $ E=\frac{1}{5}\! $ *$ ((3^5)\! $ - $ (1^5))\! $ $ E=\frac{1}{5}\! $*$ (243-1)\! $ $ E=48.4\! $
Power calculation
$ P=\frac{1}{(3-1)}\int_{1}^{3}\ |x^2|^2\,dx,\,\! $ $ P=\frac{1}{2}\int_{1}^{3}\ x ^4\, dx , \,\! $
$ P=\frac{1}{2}\! $ * $ \frac{1}{5} $ *$ ((3^5)\! $ - $ (1^5))\! $
$ P=\frac{1}{10}\! $*$ (243-1)\! $
$ P=24.2\! $
