A small metal ball of mass m and negative charge −q0 is released from rest at the point (0,0,d) and constrained to move along the z axis, with no damping. At 0
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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.
A small metal ball of mass m and negative charge −q0 is released from rest at the point (0,0,d) and constrained to move along the z axis, with no damping. At 0<d≪a, the ball's subsequent trajectory is oscillating along the z axis between z=d and z=−d. The ball will oscillate along the z axis between z=d and z=−d in
What will be the angular frequency ω of these oscillations? Use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2.
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