A uniform magnetic field Bz exists in a region, pointing in the +z direction. A

Question

A uniform magnetic field Bz exists in a region, pointing in the +z direction. A physicist

wants to eliminate the curvature it would produce on charged particles moving in the +x

direction by applying a uniform electric field to the region.

(a) Will this work for all charged particles moving in the +x direction, or only a certain

subset of them? Does the charge matter? Does the velocity matter? Does the mass

matter?

(b) Suppose a particle is moving in the +x direction with a velocity v0. What must the electric field strength be to make it go straight through the region? Be sure to include the direction of the field. (If this part causes you to change your answers to part (a), that's OK.

Explanation / Answer

to eliminate the curvature , the magnetic force on the charge must be balanced by the electric force

let the charge = q

electric field = E

magnetic field = B

velocity of charge = V

Fb = Fe

q V B = q E

so VB = E

this works for all charge since it does not depend on charge.

charge does not matter since charge ''q'' canel out

Velocity of charge matters as it is involved in the relation VB = E

mass does not matter. since there is no factor of mass.

b)

E = Vo B     in Y-direction

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