A particle of mass m and charge q is moving with speed v perpendicular to a constant magnetic field B(vector)=BoZ-hat
a) What is the acceleration of the particle? Calculate the x, y and z-component of a as a function of time. You may choose the direction of the x and y-axes for your own convenience. Describe the particle's path as it moves under the influence of the magnetic field.
b) Find the power radiated per unit solid angle by the particle, assuming v << c.
c) Time average your result in part (b). (Just set up the expression for time average).