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27 Nov 2019
A stationary ring of radius a lies in the yz plane and has auniform positive charge Q. A small particle that has mass m and anegative charge -q is located at the center of the ring.
(a) Show that if x « a, the electric field along the axis of thering is proportional to x. (Do this on paper. Your instructor mayask you to turn in this work.)
(b) Find the force on the particle as a function of x. (Use thefollowing as necessary: k, q, m, a, Q, and x.)
Fx =
(c) Show that if the particle is given a small displacement in the+x direction, it will perform simple harmonic motion. (Do this onpaper. Your instructor may ask you to turn in this work.)
(d) What is the frequency of that motion? (Use the following asnecessary: k, q, m, a, and Q.)
A stationary ring of radius a lies in the yz plane and has auniform positive charge Q. A small particle that has mass m and anegative charge -q is located at the center of the ring.
(a) Show that if x « a, the electric field along the axis of thering is proportional to x. (Do this on paper. Your instructor mayask you to turn in this work.)
(b) Find the force on the particle as a function of x. (Use thefollowing as necessary: k, q, m, a, Q, and x.)
Fx =
(c) Show that if the particle is given a small displacement in the+x direction, it will perform simple harmonic motion. (Do this onpaper. Your instructor may ask you to turn in this work.)
(d) What is the frequency of that motion? (Use the following asnecessary: k, q, m, a, and Q.)
