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exam2 - Physics 3323 Electromagnetism I Spring 2002 EXAM#2...

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Physics 3323, Electromagnetism I, Spring 2002 EXAM #2 Wednesday, March 20, 2002 Remember to work each problem as fully as possible. Partial credit will be given so SHOW ALL OF YOUR WORK!! Useful information: [ ] θ θ θ πε ˆ sin ˆ cos cos sin sin + = = r r p E u u u du u u dipole 2 4 1 3 0 1. A point charge q is placed a distance d above the surface a semi-infinite slab of homogenous dielectric material (with relative permittivity ε r ). The surface of the slab is located at z=0. In this problem, we will find the potential above and below the surface using the method of images. Before you begin, here are a few hints: i) You have to use different image charge configurations for the regions z > 0 and z < 0. ii) For the region z > 0, the location of the image charge below the surface is where we would expect, but the presence of the dielectric will modify its magnitude (q’). iii) For the region z < 0, there is only one image charge (located above surface where we would expect), but it’s magnitude will also be different, too (q’’).
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