Plate a ParticleInitial v source Plate b 1- In the diagram above, a potential di

Question

Plate a ParticleInitial v source Plate b 1- In the diagram above, a potential difference V is set up between plates a and b so that charged particles, emitted from the particle source with various unknown initial velocities v, are exposed to a constant electric field between the plates. The plates are separated by a distance d, and particles from the source have a mass m and a positive charge q. Give answers in terms of given variables and fundamental constants a. Calculate the magnitude of the electric field between the plates. bh caleulate the megnttheaceleration ae as t tawelishthdsan betiween the plates? c. If the particles from the source have a positive charge, which plate, a or b, should be at high potential to cause the particle to accelerate towards plate a? Briefly explain your reasoning. The charged particles accelerate toward plate a, but now a constant magnetic field is established in the same region between the plates, in a direction perpendicular to the electric field. d. Which direction should the magnetic field be oriented to counteract the electric force acting on the positively charged particles? e.Calculate the magnitude the magnetic field should have so that a particle with a desired velocity V will continue to travel in a straight line through the region between the plates

Explanation / Answer

given potential difference = V

plate seperation = d

mass of particles = m

charge = q

initial speed = v (unknown)

a. ELectric field between the plates = E

E = V/d

b. acceleration of particles as they travel through the plates = a

a = qE/m = qV/md

c. given, the particle should accelerate towards plate a

hence, for +vely charged particel, the field should point from b to a

hence

plate b should be at higher potential

d. to counter the electric force, the magnetic field has to apply downward force on the partlcle

from fleming's left hand rule, the magnetic field to apply such a force must be pointing out of the plane of the page

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