hw2_p5405_f01 - nd E (r = R, = 0). You should nd a eld...

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HW 2 Phys5405 f01 due Sept. 13 1a) In a region of space E = E e x . Prove that E does not depend on y or z in this region. 1b) If there is no charge in this region, prove that E doesn’t depend on x. 2a) Charge is arranged on the surface of a sphere of radius R centered at the origin as follows: σ = σ 0 , if θ > α and σ = 0, otherwise. Here θ is the usual polar angle, 0 θ π . Find E (r = R, θ = 0). 2b) Let α 0. This e±ectively puts uniform charge density on the spherical surface. Again
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Unformatted text preview: nd E (r = R, = 0). You should nd a eld dierent from what the Guass law would predict if the charge on the volumes boundary surface was included in the Gauss integral. That is why such charge must be excluded. 2c) What is the prediction of the Gauss law incorrectly used that was mentioned in part 2b)? 3) JDJ chapter 1 problem 2 4) JDJ chapter 1 problem 4 5) JDJ chapter 1 problem 6 1...
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