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Circular Kinematics

Protons havin...

Question

Protons having kinetic energy K emerge from an accelerator as a narrow beam. The beam is bent by a perpendicular magnetic field so that it just misses a plane target kept at a distance l in front of the accelerator. Find the magnetic field.

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Solution

Radius = l KE = K

Since $l = m v / q B$

$\Rightarrow l = \frac{\sqrt{2 K m}}{q B}$

$B = \frac{\sqrt{2 K m}}{q l}$

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