A beam of electrons travelling with speed 1.2 × 107ms-1 in an evacuated tube is made to move in a circular path of radius 0.048m by a uniform magnetic field of flux density B = 1.4mT. (a.) Calculate, in electronvolts, the kinetic energy of an electron in the beam. Deduce the PD through which the electron was accelerated. (b.) A similar technique is used to accelerate protons to very high speeds. Protons with energies of 500GeV can be held by magnetic fields in circular orbits of radius 2 km. Suggest why such a large radius orbit is necessary for high energy protons.

A beam of electrons travelling with speed 1.2 × 107ms-1 in an evacuated tube is made to move in a circular path of radius 0.048m by a uniform magnetic field of flux density B = 1.4mT. (a.) Calculate, in electronvolts, the kinetic energy of an electron in the beam. Deduce the PD through which the electron was accelerated. (b.) A similar technique is used to accelerate protons to very high speeds. Protons with energies of 500GeV can be held by magnetic fields in circular orbits of radius 2 km. Suggest why such a large radius orbit is necessary for high energy protons.

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