Calculating Charge Ratio in a Uniform Magnetic Field

AI Thread Summary
Two charged particles moving in the same magnetic field experience equal magnetic forces despite differing speeds, with Particle 1 traveling eight times faster than Particle 2. The magnetic force equation, F = BQVsin(theta), is applied to both particles, leading to the conclusion that the ratio of their charges can be derived from their velocities. Since the forces are equal, the relationship between their charges can be expressed as q1/q2 = V2/V1. Given that V1 is eight times V2, the charge ratio simplifies to q1/q2 = 1/8. This analysis confirms the relationship between charge magnitudes in a uniform magnetic field.
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magnetic force help ?

Homework Statement


Two charged particles move in the same direction with respect to the same magnetic field. Particle 1 travels eight 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.


Homework Equations


B=F/qVsin(theta)


The Attempt at a Solution


BqVsin(theta)=BqVsin(theta)
and then B and sin(theta) cancel but i don't know where to go from here??
 
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F=BQVsin\theta

For the first charge,Q1.

F=BQ_1V_1 sin\theta

For the 2nd charge,Q2

F=BQ_2V_2 sin\theta


what is the relation between V1 and V2?
 


okay cool thanks i got it.
 

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