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Consider a cylindrical cavity of radius R. It is infinitely long in the zdirection. The side walls at r=R are grounded [V=0] and the end

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Consider a cylindrical cavity of radius R. It is infinitely long in the zdirection. The side walls at r=R are grounded [V=0] and the end wall at z=0 has a potential whose r,o dependence is: V(r, $,0) = CJ2(ar) cos(20) where J2(aR) =0. Write down V(r,$,z). {It might be useful to note that J_m(x) = (-1)" Jm(x)}

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