Your goal is to accelerate the particles to kinetic energy k. what minimum radius r of the cyclotron is required?

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22-10-2017
Physics

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Your goal is to accelerate the particles to kinetic energy k. what minimum radius r of the cyclotron is required?

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meerkat18 meerkat18 · Answer 1 · 2017-11-02T16:02:04+01:00

meerkat18 meerkat18

02-11-2017

considering the magnetic force is providing the centripetal force,
we get, mv^2/r = qvB
so, r = mv/qB

as the Kinetic energy, K of the particle is given by.5mv^2
so, v = sqrt(2K/m)
substituting the in radius equation,
r = m*sqrt(2K/m)/qB

r = sqrt(2Km)/qB

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