( (2) what is the direction of the vector that results from the cross product v

Question

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(2) what is the direction of the vector that results from the cross product v cross B?
Toward right face, toward left face, toward top face, toward bottom face, toward front face, toward back face.

(3) what is the direction of the magnetic force on the conduction electrons?
   Toward right face, toward left face, toward top face, toward bottom face, toward front face, toward back face.

(4) what is the direction of the electric field that is set up due to the migration of conduction electrons?
Toward right face, toward left face, toward top face, toward bottom face, toward front face, toward back face.

(5) what is the direction of the electric force on the conduction electrons once the electric field is set up?
     Toward right face, toward left face, toward top face, toward bottom face, toward front face, toward back face.

(6) Keep the magnetic field in the positive z direction but now move the cube in the negative direction of the y axis. In this new situation, to which face are conduction electrons initially driven by the magnetic force?
   right face, left face, top face, bottom face, front face, back face, the electrons are not driven by a magnetic force in spite of the motion.

This is the cross product result. This is the magnetic force on an electron Electrons are forced to the left face, leaving the right face positive The weak electric field creates a weak electric force More migration creates a greater electric field The forces now balance. No more electrons move to the left face This is the resulting electric field

Explanation / Answer

(a) in the direction of magnetic force - toward left face

(B) as given in fig a - toward right face

(c) toward left face

(d) from right face to left face (positive charge to negative charge)

(e) electric force on electron will be opposite to electric field . I.e. toward right

(F) location of cube does not matter , still they will move toward left face

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