Question

3. The diagram below shows the trajectories of three charged particles moving in a uniform magnetic field of strength B. The field points into the plane of the paper. The particles are moving in the plane of the paper. The direction in which each particle is moving is shown by the arrows. (a) For each particle, find if the charge is positive or negative (Q>0 or Q<0). Q1: Q2: Q3: (b) Assume all particles have the same velocity (v) and the same charge charge magnitude |Q|. Which particle will have the greater mass? Explain your answer in a couple of sentences. Derive the formula you used to answer this question. Will the speed of the particles change as they move in the magnetic field? (c) For each of the curves below pick a point in the trajectory and indicate the velocity vector at that point and the direction of the force due to the magnetic field.

3. The diagram below shows the trajectories of three charged particles moving in a uniform magnetic field of strength B. The field points into the plane of the paper. The particles are moving in the plane of the paper. The direction in which each particle is moving is shown by the arrows. (a) For each particle, find if the charge is positive or negative (Q>0 or Q<0). Q1: Q2: Q3: (b) Assume all particles have the same velocity (v) and the same charge charge magnitude Ql. Which particle will have the greater mass? Explain your answer in a couple of sentences. Derive the formula you used to answer this question. Will the speed of the particles change as they move in the magnetic field? (c) For each of the curves below pick a point in the trajectory and indicate the velocity vector at that point and the direction of the force due to the magnetic field. iXX X X X X X X ľ X X X X X X X X X X X X X X X X 1 X X X X X X X

Answer 1

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a) According to right Hand Thumb rule F = q (V+B) •Q, = Eve •Q = (tve) by Magnetic force = mv - QUB = me = R= my to radius of VB I trajectory for same 9, B, AV . Ram (mass) m, has tareatest mass zu R, is largest}