1) Consider a negatively charged particle entering a region between two charged
ID: 1315646 • Letter: 1
Question
1) Consider a negatively charged particle entering a region between two charged plates, as shown in the diagram below. The initial velocity of the particle is 7.0 x 107 m/s. The mass of the particle is 9.1 x 10-31kg and the charge is -1.6 x 10-19C. The distance between the plates is 0.025m. You can consider the electrical force to be the only force acting between the plates. (The force of gravity is negligible and can be considered to be zero in this problem.) The magnitude of the electric field is such that the particle just reaches the negative plate (the velocity at the negative plate is zero).
a) Determine the potential difference between the plates. Show your work and explain your reasoning.
b) Which plate is at a higher potential. Show your work and explain your reasoning.
Explanation / Answer
a)
Workdone = chnage in kinetic enrgy
q*delta V = 0.5*m*(v2^2 - v1^2)
here, v2 = 0
delta V = 0.5*m*v1^2/q
= 0.5*9.1*10^-31*(7*10^7)^2/(1.6*10^-19)
= 13934 vlts
b) left plate is at higher potenatil.
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