My answer to this question was E. Because E*dl, al of them have result in same v

Question

My answer to this question was E. Because E*dl, al of them have result in same value.

I need clear explaintion than I I have stated.  

Three identical particles labeled A, B, and Center a region of space where the magnetic field points away from the viewer, perpendicular to the plane of the drawing. The particles' velocities have the same magnitude and all lie in the plane of the paper, but they have different directions, which particles experiences the largest magnetic force, and why ? (For full credit, you must explain why you chose your answer) X X X X X X X X X X X X X X XX A. Particle a B. Pearlie B C. Particle C c D. Both A and C. E. The magnitude of the force is run-zero and the same for all three particles. F. The magnetic force is zero on all three particles.

Explanation / Answer

B= Magnetic Field V= Velocity q= Charge on the particle

Magnetic Force, F= q*(VXB) =qVBsin(theta); theta is the angle between V and B vectors.

The magnitude of charge on all the three particles is same, they have same speeds and the theta angle is also 90 in all three cases.

So the magnetic force F's magnitude will be same for all the 3 particles, however, their direction will vary depending upon the right-hand rule and the nature of charge (positive or negative).

Yes, the answer is E

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