Unformatted text preview: HW 9 Phys5406 S06 due 4/13/06
1)Consider two innite parallel plates. Suppose the plates have uniform surface charge
densities ¦. Show that the plates are attracted to each other and calculate the force per area exerted on a plate. Calculate the force from the energy method and from the stress
tensor.
2)A uncharged conducting sphere of radius a and mass M oats in a dielectric liquid of
permitivity such that 1/4 of its volume is submerged. When the sphere is charged it oats
with more of its volume submerged. Find the charge Q such that it oats with 1/2 the
volume submerged. Note you may want to refer to JDJ 410 which you have already done
for homework
3)JDJ 4.13
4)In order to see that the electromagnetic eld can also transmit angular momentum do
JDJ 6.10. Proceed in the same way I did for the linear momentum after you have correctly
written the rate of change of mechanical angular momentum. 1 ...
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 Spring '10
 Blecher
 Charge, Magnetism, Force, Fundamental physics concepts, uniform surface charge, mechanical angular momentum, Uncharged conducting sphere, nite parallel plates

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