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Consider two grounded conducting plates, located parallel to the x-y plane at z = 0 and...

  1. Consider two grounded conducting plates, located parallel to the x-y plane at z = 0 and z =a. A rectangular tube is created by placing long strips of metal in between the plates, parallel to the x-z plane at y = -b and y = b. The plate at y = b is held at a constant negative potential: -V0, while the plate at y = -b is held at a constant positive potential, V0. Write down a general solution for the X(x), Y(y) and Z(z) functions. Be explicit about your choice of constants and functions. Write the solution as a sum including unknown coefficients. Take the problem no further; do not solve for these coefficients
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