Uniform magnetic field and electric field

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Homework Help Overview

The discussion revolves around determining the period of a charged particle moving in a uniform electric and magnetic field, specifically when the particle's velocity is perpendicular to both fields. The original poster references a known formula for the period in the absence of an electric field and seeks clarification on how to incorporate the electric field into their calculations.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants explore the implications of the presence of an electric field on the period of the particle's motion. Questions arise regarding the meaning of "period" in this context and the interpretation of the electric field's direction. There is an attempt to relate the motion to the particle's velocity after a certain number of revolutions.

Discussion Status

The discussion is ongoing, with participants seeking to clarify the definitions and implications of the problem. Some guidance has been offered regarding the interpretation of the electric field vector, but there is no explicit consensus on the approach to take or the calculations involved.

Contextual Notes

Participants express uncertainty about the limits of integration for finding the velocity over time and the specific setup of the electric and magnetic fields. There is a lack of clarity regarding the assumptions made in the problem statement.

Sixty3
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Homework Statement


How would you find the period of a charged particle in an uniform electric and magnetic field?
The charged particle has velocity that is perpendicular to the magnetic and electric field (which are directed in the x-axis).

Homework Equations


F=q(E+vxB)


The Attempt at a Solution


In the absence of an electric field, I see that the period is given by T=2pi(m/qB). Not sure how I can find it when an electric field is present.
 
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Hey, when you say period, do you mean that the particle is orbiting something?
 
I misunderstood the question, but I need to find the magnitude of the velocity after 'c' revolutions.
 
What does "directed in the x-axis" mean? If you were to write the three Cartesian components of, say, the electric field vector, what might it look like?
 
I am lost with this question, but to go about finding the velocity at time t I think it's v=q/m (integral)[E+vxB]dt, it's just the limits of integration I'm not able to find.

Thanks for replying.
 

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