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How to Solve for Y(T) Dirac Delta

The Dirac Delta function is used in physics to understand the path of a line as an impulse approaches zero. Also called the impulse function, the Dirac Delta calculates a unit pulse over a constant amplitude. In addition, the function is solved in terms of its duration, abbreviated as T.

Instructions

    • 1

      Examine the Dirac Delta function, which is as follows:

      Y(T) = 1/(T * Pi^.5)*e^(-x^2/T^2)
      as T approaches zero.

    • 2

      Find the duration as the key variable in the equation. The duration can be found experimentally as the amount of time that an impulse occurs. Assume for this equation that the value is 1 second.

    • 3

      Insert values for x to solve for the Y(T) Dirac Delta function. For example, if x = 2, then the equation would be as follows:

      Y(T) = 1/(1 * Pi^.5)*e^(-2^2/1^2) = about 30.85

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