All Problems Motion of Charged Particles in Electric and Magnetic Fields
Problem 3.380
A relativistic particle with charge \(q\) and rest mass \(m_{0}\) moves along a circle of radius \(r\) in a uniform magnetic field of induction \(B .\) Find: (a) the modulus of the particle's momentum vector; (b) the kinetic energy of the particle; (c) the acceleration of the particle.
3.380. (a) \(p=q r B ; \quad T=m_{0} c^{2}\left(\sqrt{1+\left(q r B / m_{0} c\right)^{2}}-1\right)\) (c) \(w=\) \(=\frac{c^{2}}{r\left[1+\left(m_{0} c / q r B\right)^{2}\right]}\)