It is shown in more advanced courses that charged particles in circular orbits radiate electromagnetic waves, called cyclotron radiation. As a result, a particle undergoing cyclotron motion with speed vis actually losing kinetic energy at the rate
dK/dt=−(μ_0*q^4/6πcm^2)B^2v^2
a. How long does it take an electron to radiate away half its energy while spiraling in a 1.5 T magnetic field?
b. How long does it take a proton to radiate away half its energy while spiraling in a 1.5 T magnetic field?
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It is shown in more advanced courses that charged particles in circular orbits radiate electromagnet...
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