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Unformatted text preview: HW 3 Phys5406 S08 due 2/7/07
1)A uncharged, conducting sphere of mass M and radius R oats with 1/4 of its volume
submerged in a dielectric liquid of permitivity . When a total free charge Q is put on the
sphere it oats with 1/2 its volume submerged. Calculate, the Q = f (; R; M ) needed.
2) Suppose an in nitely long conducting cylinder of radius R is cut through a diameter
into two half cylinders. They are then glued together and a charge/length is placed on the
cylinder. How much force/length must the glue withstand to keep the half cylinders from
pulling apart.
3) Suppose a long solenoid of n turns/length, radius R and current I. Consider a screw
driver (approximated as a cylinder with radius a such that a << R) of permeability partially inside the solenoid and partially outside at one end. The axis of the cylinder is parallel
to that of the solenoid. What is the approximate force/area exerted on the screw driver? Is
the latter pulled in or expelled? 1 ...
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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.
 Spring '10
 Blecher
 Charge, Magnetism, Mass

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