Newton's second law:
q = -q0
E = kqz/(z2 + a2)(3/2)
F = -kqq0z/(z2 + a2)(3/2)
at a point z = d,
F = -kqq0d/(d2 + a2)(3/2)
When d << a, (d2 + a2) is approximately equal to a2
F = -kqq0d/a3 = (-kqq0/a3)d
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.
Imagine a small metal ball of mass m and negative charge -q0. 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.oscillatingalong the z-axis between z = d and z = -d.
D. circling around the z-axis at z =d
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