How can charged particle have constant kinetic energy in uniform magnetic field. I mean particle is accelerating so it must radiate EMW and loose energy?
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A charged particle in a magnetic field only has constant kinetic energy only if radiative losses are ignored. Indeed, as you correctly pointed out, a particle will lose energy due to radiation as it is accelerated by the magnetic field. However, radiative effects are typically suppressed by several powers of $c$ (by the Larmor formula), so at nonrelativistic speeds, kinetic energy is very nearly constant.
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So, do we have formula for how much radiation energy emitted by accelerating charge, if then what is it? – user228544 Apr 18 '19 at 03:02
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Yes, the Larmor formula supplies the power radiated by a nonrelativistic accelerating charge. – Apr 18 '19 at 15:42