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If the point x is on the z axis , the right - hand side reduces to ( 3.38 ) , while the
left - hand side becomes : 1 1 | x – X'l 1 ir – p ' ! ( 3.43 ) ( r2 + p 2 2rr ' cos y )
Expanding ( 3.43 ) , we find 1 | x – X ' ! 1Σ ( ες ) ( 3.44 ) I = 0 For points off the axis
it is ...
( c ) Show that at the end of a long solenoid the magnetic induction near the axis
has components 20NI πΝΙ B , - B ... conductor of radius a has a hole of radius b
bored parallel to , and centered a distance d from , the cylinder axis ( d + b < a ) .
The speed of the particle is constant so that at any position along the z axis v ,? +
v2 = 0 v 2 ( 12.126 ) where v.2 = 0.02 + 0,10 % 2 is the square of the speed at z =
0. If we assume that the flux linked is a constant of the motion , then ( 12.125 ) ...
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Introduction to Electrostatics
References and suggested reading
Multipoles Electrostatics of Macroscopic Media
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