A proton is projected into a magnetic field that is directed along the positive

Question

A proton is projected into a magnetic field that is directed along the positive x axis. Find the direction of the magnetic force exerted on the proton for each of the following directions of the proton's velocity.

(a) the positive y direction

+x direction?x direction    +y direction?y direction+z direction?z directionzero force

(b) the negative y direction

+x direction?x direction    +y direction?y direction+z direction?z directionzero force

(c) the positive x direction

+x direction?x direction    +y direction?y direction+z direction?z directionzero force

Explanation / Answer

here ,

field = B i T

the magnetic force is given as Fm = q*(v X B)

a)

for v = v j m/s

direction of force is given as

F = j X i

the force is in -ve Z- direction

b)

for v = -v j m/s

F = - j X i

the force is in +ve Z- direction

c)

for v = v i m/s

F = i X i

the force is Zero

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