Consider the diagram below, it consists of two capacitor plates with positive ch
ID: 1428852 • 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 in 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. If the electric and magnetic fields were chosen so only particles with a certain velocity, v, pass through in a straight line, what would happen to particles that had a velocity larger than v? Explain. What would happen to particles that had a velocity smaller than v? Explain. Would any of your above answers change if the particle were negatively charged? Explain.Explanation / Answer
Here ,
a)
as the electric force is given as
electric force = charge * electric field
as the charge is positive , electric force will act in the direction of electric field
the direction of elecric force on the charge entering is upwards.
b)
as the magnetic force is given as
Fm = q * (V X B)
as velocity is to the right
magnetic field is out of page
Using right hand thumb rule
magnetic force will be Downwards
c)
Yes, as the direction of forces is oposite , they can be arranged such that the particle will move undeflected.
for zero net force
q * v * B = q * E
B * v = E
the relation between fields must be B * v = E
yes, this depends on the velocity of particle.
d)
for velocities larger than the selected velocity .
magentic force will be larger than the elecric force and the particles will deflect downwards.
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for smaller velocity , electric field willbe larger than the magnetic force and the particle will deflect upwards.
e)
Yes , as the forces will act in the oposite direction on a negative charge .
the answer to part a , b,d will reverse direction