Energy in a signal: Difference between revisions

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: <math>P(t) = {\mathbf{V}^2(t) \over R}</math>
: <math>P(t) = {\mathbf{V}^2(t) \over R}</math>
Assuming that R is 1 then the total energy is just,
Assuming that R is 1 then the total energy is just,
: <math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \mathrm{d}\mathbf{t}</math>
: <math>W = \int_{-\infty}^\infty |\mathbf{V}|^2(t) \, \mathrm{d}\mathbf{t}</math>





Revision as of 20:59, 10 October 2006

Definition of Energy

Energy is the ability or potential for something to create change. Scientifically energy is defined as total work done by a force. Work can be mathematically calculated as the line integral of force per infinatesimal unit distance,

Power represents a change in energy.

This means we can also write energy as

Energy of a Signal

From circuit analysis we know that the power generated by a voltage source is,

Assuming that R is 1 then the total energy is just,


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