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Consider the diagram below. It consists of two capacitor plates with positive ch

ID: 1595685 • Letter: C

Question

Consider the diagram below. It consists of two capacitor plates with positive charges on the bottom plate and negative charges on the top plate. There is an electric field pointing upwards and a magnetic field pointing out of the page everywhere in between the plates. What is the magnitude and direction of the electric force on a particle of charge +q and velocity v that enters the region between the plates? Explain. What is the magnitude and direction of the magnetic force on a particle of charge +q and velocity v that enters the region between the plates? Explain. Could these forces be arranged so that a particle would pass through m a straight line? Explain. If so. how would the magnitudes of the electric and magnetic forces be related? Does this depend on the velocity of the particle? Explain.

Explanation / Answer

a) magnitude of electric force = qE , where E is electric field

direction of force is upwards

b) magnitude of magnetic force = qvB, where B is magnetic field

direction of force is downwards using fleming left hand rule.

c) yes, it is possible for charge to travel along straight path if electric force and magnetic force are equal and opposite. both are opposite as clear from a and b parts. so their magnitudes must be equal also.

i.e. qvB = qE thus vB = E

yes it depends upon velocity as clear from above relation.