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Motion of Charged Particles in Electric and Magnetic Fields

Problem 3.380

A relativistic particle with charge qq and rest mass m0m_{0} moves along a circle of radius rr in a uniform magnetic field of induction B.B . Find: (a) the modulus of the particle's momentum vector; (b) the kinetic energy of the particle; (c) the acceleration of the particle.

Reveal Answer
3.380. (a) p=qrB;T=m0c2(1+(qrB/m0c)2−1)p=q r B ; \quad T=m_{0} c^{2}\left(\sqrt{1+\left(q r B / m_{0} c\right)^{2}}-1\right) (c) w=w= =c2r[1+(m0c/qrB)2]=\frac{c^{2}}{r\left[1+\left(m_{0} c / q r B\right)^{2}\right]}
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