Question

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. Consider a Van de Graaff generator used to accelerate deuterons. The high voltage terminal is charged using an insulating belt that is 25 cm wide and travels at 25 m/s. Charge is sprayed onto the belt by the roller at the low voltage end and removed from the belt inside the high voltage terminal. The belt is given sufficient surface charge density at the low voltage end near the roller to induce an electric field of 1.0 MV/m on each side of the belt. (a) What is the current delivered to the high voltage terminal in µA? Suppose we would like to accelerate the deuterons to an energy of 4 MeV. Take the radius of the spherical high voltage terminal to be the such that the electric field at the surface of the sphere is just below the breakdown field of air (3 MV/m). (b) How long does it take to charge the high voltage terminal from zero volts to 4 MV? The beam of 4 MeV deuterons is focused onto a lithium target. The beam is equivalent to a current of 1 µA. (c) At what rate do deuterons strike the target? (d) At what rate is energy (heat) produced in the target? (e) Is the Van de Graaff a ‘source of emf ? Why or why not?

Answer 1