Why Doesn’t a Charge Move in the Direction of the Force in a Magnetic Field?

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nikhilthunder
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when a charge moves in magnetic field a force perpendicular to velocity and B acts on charge then why the charge do not move in the direction of that force
 
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it does. where did you get the idea that it doesnt?

well in one sense it doesn't move 'through' the force because the force is always at a right angle to the motion of the particle. so the particles direction changes but its speed doesn't change.
 
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nikhilthunder said:
when a charge moves in magnetic field a force perpendicular to velocity and B acts on charge then why the charge do not move in the direction of that force

Hi nikhilthunder! Welcome to PF! :smile:

("why does the charge not move in the direction of that force" :wink:)

From Newton's second law, force = mass times acceleration …

so the acceleration is always in the direction of the force …

but in circular motion, the acceleration is centripetal (towards the centre of the circle), so the charge carries on moving perpendicular to the force. :smile:

(and, as granpa says, the speed doesn't change … so the energy doesn't change … this is because of the work-energy theorem … work done = change in energy, and work done is zero because the force is perpendicular to the motion :wink:)
 
Nik...
There is a Force (vector) F= qV x B (where V and B are vectors) I seem to remember that from many years ago...anyway, the force IS "sideways" via the right hand rule.

Is that the relationship you are questioning?