Assume a rectangular conducting sheet of conductivity σ, width a, and height b. A potentia...

Assume a rectangular conducting sheet of conductivity σ, width a, and height b. A potential difference V0 is applied to the side edges, as shown in Fig. Find

a) the potential distribution,

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b) the current density everywhere within the sheet. (Hint: Solve Laplace's equation in Cartesian coordinates subject to appropriate boundary conditions.)

Figure: A conducting sheet