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4. A beam of protons (charge +e) in vacuum consists of n protons/m3. At the time t - 0, the protons form a nice cylinder of radius R inside of which all the proton have the velocity -o2 (z is the axis of the cylinder). Consider one proton at the distancer<R from the axis. (FE) and magnetic (FB) forces on this proton in vacuun is c = 1/veo40. a) (15 points) Calculate the E and B fields at this proton and calculate the magnitudes and directions of the electric b) (12 points) Determine if the beam will expand, contract, remain the same size as time goes by if the speed of light o ラ 么

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