Unformatted text preview: b. Find the net force between the sphere and the ring. You should be able to write the magnitude of this in the form F ∝ q 2 ∞ X l =0 A l P l (cos α ) P l +1 (cos α ) where cos α = d/c and A l depends on the geometrical parameters, by using some recurrence relations. 3. A closed annular tube consists of the region a ≤ ρ ≤ b , 0 ≤ z ≤ c in cylindrical coordinates. The curved surfaces ( ρ = a and ρ = b ) and the bottom ( z = 0) surface are held at 0 potential, while the top ( z = c ) surface is held at potential V . Find an expansion for the potential inside the tube. Notes: For full credit you need to evaluate the V integral, by using a recurrence relation. You do not need to evaluate the normalization integral (although it can be done)....
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 Spring '09
 Magnetism, Magnetic Field, Magnetic moment, Magnet, local magnetic field

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