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'''Energy and Power'''
 
  
Energy calculation
+
[['''Energy and Power'''_ECE301Fall2008mboutin]]
  E= <math>\int_{1}^{3}\ |x ^2|^2\, dx , \,\!</math>
+
 
E= <math>\int_{1}^{3}\ x ^4\, dx , \,\!</math>
+
----
  E=<math>\frac{1}{5}\!</math> (3^5)-(1^5)
+
 
 +
  <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\! $

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