a) What is the magnitude of the magnetic force on particle a ? b) What is the ma

Question

a) What is the magnitude of the magnetic force on particle a ?

b) What is the magnitude of the magnetic force on particle b?

c) What is the magnitude of the magnetic force on particle c?

Three particles, each with a charge of 6.19 uC and a speed of 685.0 m/s, enter a uniform magnetic field whose magnitude is 0.600 T. a) What is the magnitude of the magnetic force on particle a ? b) What is the magnitude of the magnetic force on particle b? c) What is the magnitude of the magnetic force on particle c?

Explanation / Answer

The Lorentz force acting on the charges is directed perpendicularly to the screen (or sheet...) since it is F_L = q v x B, with the cross product bewteen the velocity vector v and the magnetic field vector B.

The magnitude is |F_L| = q v B sin theta, where theta is the angle between v and B.

Thus, |F_L| = 2.5 N sin theta. In case a) and c), sin theta = 1/2, while in case b) it is sin theta = 1

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