Charged particle in Electric and Magnetic field

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Homework Help Overview

The discussion revolves around the motion of a charged particle projected in a uniform electric and magnetic field. The specific charge of the particle and its initial velocity components are provided, with the goal of determining conditions under which the particle returns to the origin after being influenced by the Lorentz force.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the implications of the Lorentz force on the particle's trajectory, questioning how the velocity components interact with the fields. There are discussions about the nature of the motion and the conditions necessary for the particle to return to the origin.

Discussion Status

Some participants have offered insights into the equations of motion and the relationships between the components of velocity and acceleration. There is an ongoing exploration of the conditions under which the particle's coordinates can return to zero simultaneously, with various interpretations being discussed.

Contextual Notes

Participants are working under the constraints of the problem statement, which includes specific initial conditions and the effects of the electric and magnetic fields on the particle's motion. There is a focus on ensuring that all components of motion are considered in relation to the particle's return to the origin.

  • #31
Option B) :smile:
 
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  • #32
Vibhor said:
Option B) :smile:
Correct :smile:. Was it difficult?
 
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  • #33
ehild said:
Was it difficult?

It surely was until you took over :smile: . Honestly speaking , I had almost made up my mind to leave this problem as I was completely clueless :headbang:. But last couple of hours of problem solving were pretty exciting :partytime:,thanks to you .

You are amazing :bow:.
 
  • #34
It was the combination of a circular motion in the x,z plane and a vertical projectile motion in the direction of y. The period of the circular motion should be the same as the flight time of the vertical projectile.

upload_2016-5-10_11-18-29.png
Thank you for the thanks :smile:
 
Last edited:
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