Two charged particles move in the same direction with respect to the same magnetic field. Particle 1 travels seven times faster than particle 2. However, each particle experiences a magnetic force of the same magnitude. Find the ratio |q1|/|q2| of the magnitudes of the charges.

|q1|/|q2| = 1/7

Explanation:

Particle 1 experiences a force F1 due to the magnetic field, B:

F1 = |q1|*v1*B

Particle 2 experiences a force F2 due to the magnetic field, B:

F2 = |q2|*v2*B

We're given that:

v1 = 7v2

Also, the force experience by both particles are equal:

F1 = F2

=> |q1|*v1*B = |q2|*v2*B

|q1|/|q2| = v2/v1

=> |q1|/|q2| = v2/7v2

=> |q1|/|q2| = 1/7

Explanation:

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