hw6_p5406_s08 - HW 6 Phys5406 S08 due 3/13/08 This homework...

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Unformatted text preview: HW 6 Phys5406 S08 due 3/13/08 This homework represents my own work. I have not copied from the solutions of any person now in the class or one who previously took the class. Nor do I know of any other student in the class doing so. SIGNATURE 1) A spherical hole of radius R is scooped out of a large volume of dielectric described by constant polarization P. Calculate the electric eld inside and outside the hole. Use this to help evaluate the following the integral: R d cos  =jr r j for the case r'=Rez and r < R. 0 0 0 2) Have a look at JDJ 6.8 before you begin this problem. A sphere of radius a and permitivity  is placed in a large volume of liquid dielectric of constant permitivity  and in which there is a uniform eld E0. a)Find the resulting electric eld inside and outside the sphere and the polarization of the sphere. b)Now let the liquid become vacuum with eld E0. If the sphere is spinning with constant angular velocity ! about a diameter, such that the direction of ! is c E0, nd the magnetic eld at all points in space. Compare the magnitude of the magnetic eld to that of the electric eld inside the sphere. c)Find the total force on the sphere. d)Find the total torque on the sphere. 0 3) A grounded, conducting sphere of radius a is surrounded by a concentric, grounded, conducting spherical shell of inner radius b (b > a). In the space between the sphere and 1 the shell lies a ring of radius c with uniform linear charge density . Let the plane of the ring be z = a with a2 + c2 < b2. Find the potential in the region a r b. 2 ...
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This note was uploaded on 12/24/2011 for the course PHYS 5406 taught by Professor Blecher during the Spring '10 term at Virginia Tech.

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hw6_p5406_s08 - HW 6 Phys5406 S08 due 3/13/08 This homework...

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