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Introductory Physics Homework Help
Method of Images from an earthed half cylinder and plane
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[QUOTE="JoelKTH, post: 6868987, member: 728050"] Then I did dimensionanalysis and its ok. But I noticed that one needs to check the boundary conditions. My professor writes in the solution: To convince ourselves that the charge distribution is correct, lets examine the boundary condition. First, let z = 0. The symmetry in the choice of the line charge implies that at ##r = x\hat{x}##, we obtain (see attached figure). That means z=0 is normal to the Electric field on the plane. I am a bit lost what is happening here. Because now my professor has used the formula that I thought I was not supposed to use. He continues to use it to examine the semicircle: we note that on the surface of the cylinder, we have r = ##\hat{x}a \cos \theta + \hat{z}a \sin \theta##(see second attached figure). Then, since ##\hat{x}\cos\theta + \hat{z}\sin\theta## is normal to the cylinder (parallel to r), the electric field satisfies the normal condition to the surface, and E is the unique solution. Making me very confused. [/QUOTE]
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Introductory Physics Homework Help
Method of Images from an earthed half cylinder and plane
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