hw2.pdf - HW II Graduate problems have an asterisk Only...

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HW II Graduate problems have an asterisk. Only those taking the course as a graduate course need to solve them. Homework from the Griffiths: Problems 2.32, 2.38, 2.52 and 2.60(*). 1) A charge + q is at (0 , 0 , a ). find E ( r ). for R > a , integrate E · d ( s over the sphere of radius R centered at the origin, and show that your result is consistent with Gauss’ law. 2(*)) Consider a sphere of radius R with ρ ( r ) = cr inside the sphere and ρ = 0 outside the sphere. Compute E ( r ) and Φ( r ) everywhere. Discuss continuity of the fields at the
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