A particle with a mass X milligrams, a charge of -Y mu C, and an initial velocit

Question

A particle with a mass X milligrams, a charge of -Y mu C, and an initial velocity of 60 m/s moves into a region between two charged electrodes, entering by a small hole and exiting by another. The plates are connected to the terminals of a 300-V creating a potential difference as shown. The separation between the plates is d cm. a) If a positive particle were to move from 0 V to 300 V, would it gain or lose potential energy? Would it gain or lose speed? b) If a negative particle were to move from 0 V to 300 V, would it gain or lose potential energy? Would it gain or lose speed? c) Which of the plates is positive? Which is negative? Draw in the electric field between the plates. d) What is the change in KE of the particle as it travels from electrode to electrode? e) What is the velocity of the particle as it exits? f) What is the magnitude and direction of the electric field between the plates?

Explanation / Answer

A) Potential Energy PE = qV

So it will gain potential energy.

It will lose speed as it will lose kinetic energy

B) It will lose PE as PE=qE

It will gain speed because it will gain PE

C) Right plate is positive. Left is negative. Since electric field points from positive to negative, field lines will be from right to left parallel to each other

D) change in KE = change in PE = qV

= 300Y *10^-6 J

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