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Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. (Figure 1)
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Part A:
What is the magnitude of the electric field along the positive z axis?
(use k in your answer, where k = 1/(4πε₀))
E(z) = ____________
Part B:
Imagine a small metal ball of mass m and negative charge -q_0. The ball is released from rest at the point (0,0,d) and constrained to move along the z axis, with no damping. If 0 < d << a, what will be the ball’s subsequent trajectory?
a) repelled from the origin
b) attracted toward the origin and coming to rest
c) oscillating along the z axis between z = d and z = -d
d) circling around the z axis at z = d
Answer ( 1 )
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