Magnetic field and its affect on velocity

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A researcher is exploring ways to enhance particle velocity in a particle accelerator using a uniform magnetic field. The discussion clarifies that increasing the magnetic field strength does indeed increase particle speed while maintaining the same mass, contrary to the initial belief that it only reduces orbital radius. The question posed highlights that increasing mass does not contribute to higher velocity, as it does not affect kinetic energy directly. The relationship between force, charge, velocity, and magnetic field strength is emphasized through relevant equations. Overall, the key takeaway is that both magnetic field strength and orbital radius adjustments can influence particle speed in a particle accelerator.
evox
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A researcher is interested in creating a particle accelerator that can spin particles in the uniform magnetic field at the high possible speed. This can be achieved by all of the following EXCEPT

A)increasing magnetic field strength
B) increasing mass of the particle
C) Increasing orbital radius
D)increasing charge of the particle

I understand that the answer is B. But i don't understand why A is not incorrect, since to my knowledge, increasing the strength of a magnetic field does not increase velocity, rather it decreases the orbital radius, since work is not done and therefore there is no change in kinetic energy.

I am assuming that this question is asking for how to increase speed. Since, if it was asking how to increase acceleration, then A would be also correct.
F = qvB = mv2/r
B = mv/qr

Thanks,
 
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hi evox! welcome to pf! :smile:
evox said:
A)increasing magnetic field strength

… i don't understand why A is not incorrect, since to my knowledge, increasing the strength of a magnetic field does not increase velocity, rather it decreases the orbital radius, since work is not done and therefore there is no change in kinetic energy.

you have a design for a particle accelerator, and you are thinking of changing it

A is leaving the radius the same and increasing the field strength …

for the same mass, that will increase the speed:wink:

(C is leaving the field strength the same and increasing the radius)
 
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