4. A long dielectric cylinder of radius a and dielectric constant K is placed in a uniform electric field Ē E, 2, with i

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4 A Long Dielectric Cylinder Of Radius A And Dielectric Constant K Is Placed In A Uniform Electric Field E E 2 With I 1 (63.31 KiB) Viewed 40 times

4. A long dielectric cylinder of radius a and dielectric constant K is placed in a uniform electric field Ē E, 2, with its axis oriented at right angles to the direction of the electric field. The cylinder has no external charge. Using Laplace's equation and the appropriate boundary conditions, find an expression to the electric field at a point (a) inside and (b) outside the dielectric cylinder. Tip: You will be using three BCs: two for r = R, one for r >> R 2 Ē = Eo2 The general solution to the Laplace equation in cylindrical coordinate ZR r ran V(7,0) = Ao + Bo In r+ (Ann" + Byr=) cos no + (Cyr? + Dur=) sin no n=1 n=1 Figure 3