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Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8...

Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8 , if the cylinder temperature is zero in all surface except the bottom circular surface where it is divided two halves , the first is held at T1= 100 c and the other is held at T2=200 c.

please use laplace equation and show me the solution with the details of the derivation .

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