(a) (i) Write down an expression for the force acting on a charge moving withvelocity v in the presence of both electric E and magnetic B fields.Assume that a particle of charge Qmoves in the presence of a uniformmagnetic field B.(ii)Find the magnitude of the momentum of the particle if it moves in a circleof radius R in the plane perpendicular to B.Sketch the trajectory of the particle if it has an additional component ofvelocity v parallel to B.(iii) Show that magnetic forces do no work on a charge Q.(b) Starting from the integral form of Gauss's law, derive the differential form ofthe law,where p is the charge density.V.E =1·P

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