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Unformatted text preview: you can assume that the magnetic eld generated by these moving charges is negligible.) 3) (J5.3) A right circular solenoid of nite length L and radius a has N turns per unit length and carries a current I . Show that the magnetic induction on the cylinder axis in the limit NL is B z = NI 2 (cos 1 + cos 2 ) where the angles are dened in the gure. 2 1 4) (J5.13) A sphere of radius a carries a uniform surfacecharge distribution . The sphere is rotated about a diameter with constant angular speed . Find the vector potential and magneticux density both inside and outside the sphere. Hint: Decompose the Y m s into e.g., ( y cos  x sin )sin i 2 [ x ( Y 1 , 1 + Y 1 ,1 ) + i y ( Y 1 , 1 + Y 1 ,1 )]...
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This note was uploaded on 02/04/2012 for the course PHY 501 at Princeton.
 '11
 MARLOW
 Physics, Magnetism

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