33. (a) The charge on every part of the ring is the same distance from any point P on the axis. This distance is r = √ z 2 + R 2 ,where R is the radius of the ring and z is the distance from the center of the ring to P . The electric potential at P is V = 1 4 πε0 Z dq r = 1 4 πε0 Z dq √ z 2 + R 2 = 1 4 πε0 1 √ z 2 + R 2 Z dq = 1 4 πε0 q √ z 2 + R 2 . (b) The electric Feld is along the axis and its component is given by
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.