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19. (5pts) A neutral particle moves parallel to a wire. If a current is suddenly turned on, in which
direction will the force act? +q
Solution
As current is switvhed on, magnetic field is generated in space. Magnetic field applies force on
moving charge particles.
Particle in problem is given to be neutral , so no force will act on that.
In figure, particle is shown to be positively charged, there is force acting on this particle.
Magnetic force is given by
q ( v x B)
that is if particle is +ve, direction of force is same as direction of v x B , but if it is -ve charge
partcle force is along - (v x B).
Field due to current at the position of charge is along +ve z direction and velocity is along +ve y
direction. Hence direction of force on the =ve charge particle is
j x k
that is along =ve x direction.

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  • 1. 19. (5pts) A neutral particle moves parallel to a wire. If a current is suddenly turned on, in which direction will the force act? +q Solution As current is switvhed on, magnetic field is generated in space. Magnetic field applies force on moving charge particles. Particle in problem is given to be neutral , so no force will act on that. In figure, particle is shown to be positively charged, there is force acting on this particle. Magnetic force is given by q ( v x B) that is if particle is +ve, direction of force is same as direction of v x B , but if it is -ve charge partcle force is along - (v x B). Field due to current at the position of charge is along +ve z direction and velocity is along +ve y direction. Hence direction of force on the =ve charge particle is j x k that is along =ve x direction.