I need some help starting off on this question.(adsbygoogle = window.adsbygoogle || []).push({});

Electrostatic potential [tex]V (x,y)[/tex] in the channel [tex]- \infty < x < \infty, 0 \leq y \leq a[/tex] satisfies the Laplace Equation

[tex]\frac{\partial^2 V}{\partial x^2} + \frac{\partial^2 V}{\partial y^2}= 0[/tex]

the wall [tex]y = 0[/tex] is earthed so that

[tex]V (x,0) = 0[/tex]

while the potential on the wall [tex]y = a[/tex]

[tex]V (x,a) = V_0 \cos{kx}[/tex] where [tex]V_0 , k[/tex] are positive constants.

By seeking a soln of an appropriate form, find [tex]V (x,y)[/tex] in the channel.

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# Boundary Value Problem

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