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23 Nov 2019

A ring of radius R has charge Q. At a point on the axis of thering, a distance y above the plane of the ring, the electricpotential (voltage) is . Use the voltage to find the y-component ofthe electric field at the point. Do NOT integrate directly to getfield! The answer should be entered in symbols R, Q, k, y, andnumbers.

If only electric forces are important Conservation of MechanicalEnergy tells us . In practice the electric force is frequently muchlarger than the gravitational force, and we can eliminatefrictional or drag forces by using a vacuum system. The the onlypotential energy is the electrostatic potential energy, .

An electron has a speed of 5.0 x 10^5 m/s at point A. The voltageat point A is 3300 V and at point B is 4550 V.

(a) What is the speed of the electron at point B? Assume forcesother than the electric force are negligible.

(b) Repeat the question for a proton instead of an electron.

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