Question: consider an electron entering the magnetic field b05 gauss of...
Consider an electron entering the magnetic field (B=0.5 Gauss) of the Earth at the equator with velocity (vx,vy,vz) = (100,100,10) km/sec (the z-axis being defined by the local orientation of the B- field). Show that its velocity along the B-field is constant and that the particle rotates around the field lines with frequency 𝜔0 = eB/mc and radius: 𝑟 = √(𝑣2 + 𝑣2) /𝜔 . Due to this rotation the particle radiates part of its rotational energy. Show that as a consequence the radius decreases with time. Will the electron reach the North Pole before losing its rotational energy?