QUESTION 1 An infinitely long metal cylinder is centered on the z-axis in a cylindrical coordinate system, ( pimp, 2 ) . The radius of the cylinder is a. The electric potential field that can exist outside the cylinder is governed by the Laplace Equation: V 2V=0 The general solution to the Laplace equation in the region outside the cylinder is given by: HINT: Since the cylinder is infinite assume no variation in the potential with respect to z. Oav= _ (AP (p) + BQ (p) ) (Ceosmp + Dsinmo)p-" Obv= (Ap"+1+ Bp-m -1) (Ccosmo + Dsinmip) OV= E (AP + Bp- ) (Ccosmo + Dsinmip) PAT Odv= (A+ B Inp) (Ccosmo + Dsinmop) p Dev= E(A (p) + BY (p) ) (Ccosmo + Dsinmy)