P25_033 - 33. (a) The charge on every part of the ring is...

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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 πε 0 Z dq r = 1 4 πε 0 Z dq z 2 + R 2 = 1 4 πε 0 1 z 2 + R 2 Z dq = 1 4 πε 0 q z 2 + R 2 . (b) The electric Feld is along the axis and its component is given by
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