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Class 12 › Physics › Moving Charges and Magnetism
CBSE2020Class Class 12 · Physics2 Marks · Short✅ Verified
Write an expression for the maximum kinetic energy acquired by charged particles accelerated by a cyclotron.
✅ Answer & Solution
In a cyclotron, the maximum radius of circular path is $R$ (radius of the dee).
At maximum radius: $r_{max} = \frac{mv_{max}}{qB} = R$
$$v_{max} = \frac{qBR}{m}$$
Maximum kinetic energy:
$$KE_{max} = \frac{1}{2}mv_{max}^2 = \frac{1}{2}m\left(\frac{qBR}{m}\right)^2$$
$$KE_{max} = \frac{q^2B^2R^2}{2m}$$
