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A box with thick and conductive sides with dimensions: Lx, Ly, Lz- while LZ>>Lx,Ly. The long dimension of the box [Lz] can be viewed as infinite so Phi(x,y,z)=Phi(x,y)

Given that:

  • Phi(0,y)=-Phi(Lx,y)=1V
  • Phi(x,0)=Phi(x,Ly)=0
  • Lx=Ly=1cm

I want to calculate (after stabilization):

  1. The electric potential
  2. The electric field
  3. Distribution of electrical charge on the sides of the box

I know that the Laplace equation must be used, but I do not understand how to do it ... Can anyone help?

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