Collision of two charged particles projeced in magnetic field

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Homework Help Overview

The discussion revolves around the collision of two charged particles moving in a uniform magnetic field. The original poster presents a scenario where the particles, initially separated by a distance, are influenced by magnetic forces while the Coulomb force is turned off. The problem involves determining the time at which the particles collide based on their motion in circular paths.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the time it takes for the particles to collide, with one participant calculating the time based on the fraction of the circular path completed. Questions arise regarding the correctness of this calculation and the assumptions made about the motion of the particles.

Discussion Status

There is an ongoing exploration of the problem, with one participant expressing confusion about the calculations and seeking clarification on the setup. Another participant claims to have solved the problem, suggesting a different fraction of the circular path completed at the time of collision. The discussion reflects varying interpretations of the problem and the calculations involved.

Contextual Notes

Participants note the absence of a figure that is crucial for understanding the problem setup, as well as the need for additional details regarding the charges and the direction of the magnetic field.

carlyn medona

Homework Statement


Two particles having mass m separated by a distance d is uniform magnetic field as shown in the figure . If v=qBd/m, at what instant does collision occur. The coulomb force between the particles is switched off.

Homework Equations


T=2πm/qB

The Attempt at a Solution


For the given velocity each particle travel in a circle with radius d, at instant of collision each has completed 1/6 of it circular path, so I got time t=πm/3qB, but the solution says t=πm/6qB. Can somebody tell me where did I go wrong?
 
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carlyn medona said:

Homework Statement


Two particles having mass m separated by a distance d is uniform magnetic field as shown in the figure . If v=qBd/m, at what instant does collision occur. The coulomb force between the particles is switched off.

Homework Equations


T=2πm/qB

The Attempt at a Solution


For the given velocity each particle travel in a circle with radius d, at instant of collision each has completed 1/6 of it circular path, so I got time t=πm/3qB, but the solution says t=πm/6qB. Can somebody tell me where did I go wrong?
Can you please Upload the figure -- it is difficult to tell what is going on. Can you also provide more details about the problem (charges?, Field direction?), and show your detailed work? Thank you.
 
Sorry, I forgot that
 

Attachments

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I actually solved it, they would collide when each particle has completed 1/12 of its circular path
 
carlyn medona said:
I actually solved it
Great, because I'm not very good at reading upside-down figures. o0)

:smile:
 

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