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Thread: Solving Laplace Equation having boundary conditions

  1. #1
    Senior Member Vinod's Avatar
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    Solving Laplace Equation having boundary conditions

    Hello,

    Please watch this video https://youtu.be/_cPU-nf9owk and tell me whether $A)C_{n,m}=\frac {16V_0}{\pi^2 mn\cosh{\bigg(\sqrt{(\frac{n\pi}{a})^2+ (\frac{n\pi}{a})^2}}\bigg)}$ or $B)C_{n,m}=\frac {16V_0}{\pi^2 mn\cosh{\bigg(\sqrt{(\frac{n\pi}{a})^2+ (\frac{n\pi}{a})^2}}\frac{a}{2}\bigg)}$ Which is correct A) or B)?
    Last edited by Vinod; Feb 17th 2019 at 05:32 AM.
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  2. #2
    Member Walagaster's Avatar
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    Re: Solving Laplace Equation having boundary conditions

    Quote Originally Posted by Vinod View Post
    Hello,

    Please watch this video ...
    You are kidding, right?
    Thanks from topsquark
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  3. #3
    Senior Member Vinod's Avatar
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    Re: Solving Laplace Equation having boundary conditions

    Quote Originally Posted by Walagaster View Post
    You are kidding, right?
    Hello,

    Notice the argument of $\cosh$. The Math professor in the video put $\beta= \sqrt{(\frac{n\pi}{a})^2+(\frac{m\pi}{a})^2}y$ where $y=\frac{\pm a}{2}$ But i think math professor in the video forgot to put y in the argument of $\cosh$ while calculating $C_{n,m}$. Also math professor didn't comment at $V=0$ at the centre of cube. Is $E=0$ there?
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