3. [40 pts] At time t, calculate the electric and magnetic fields due to a proton on points that lie on a circle of radius R in the xy plane as a function of the angle 0 (see Fig. 3) Assume that the proton was at rest at the origin at time t, = t- R/c, and that it is being acted upon by a constant force F = m, a î where m, is the proton mass and a = c²1(3R). As usual, c is the speed of light in vacuum. R position of the electron at t = t, Fig. 3

3. [40 pts] At time t, calculate the electric and magnetic fields due to a proton on points that lie on a circle of radius R in the xy plane as a function of the angle 0 (see Fig. 3) Assume that the proton was at rest at the origin at time t, = t- R/c, and that it is being acted upon by a constant force F = m, a î where m, is the proton mass and a = c²1(3R). As usual, c is the speed of light in vacuum. R position of the electron at t = t, Fig. 3