General Procedure For Solving Poisson's Or Laplance's Equation,Procedure For Solving Poisson's Equations,Procedure For Solving Laplance's Equations, EMFT
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    General Procedure For Solving Poisson's Or Laplance's Equation

     

    The Following procedure can be used in solving boundary value problem using Laplance's or Poision's equation:

    1. If ƿv  =  0

    we use Laplance equation and if not (ƿv ≠ 0 ) we solve poisson's equation for a given problem.

    Consider situations:

    If V is only a function of one variable then direct integration will used and if V is a function of more variables the method used will be the method of sepration.

    While using the above procedure the solution may not be unique but it contains a number of constants.

     

    2. A numbers of boundries would be given and these boundary conditions are applied to obtian the values of the problems.

     

     

    3. Substituting the value of constant in the solution, a unique solution of problem is obtained.

     

    4. After obtaining the value of V, to find the value of E, D, J we use

     

    (a) To find E :

    E= Operator V

    (b) To find D :

    use D = ϵ E

    (c) To find J :

    J=sigmaE

     

    5. Find the charge Q if needed by using the

    Q =

     

    6. The capacity of two conductors can be found using

     

    7. The resistance of an object can be found using

    Where

    I=

     

    This is all about General Procedure For Solving Poisson's Or Laplance's Equation .