Uniform magnetic field and electric field

AI Thread Summary
To find the period of a charged particle in a uniform electric and magnetic field, the relationship F=q(E+vxB) is crucial. The period without an electric field is T=2pi(m/qB), but the presence of the electric field complicates the calculation. Clarification is needed on the meaning of "directed in the x-axis" and how it affects the electric field vector's components. The discussion also touches on determining the particle's velocity after several revolutions and the challenges in setting proper limits for integration. Overall, understanding the interplay between the electric and magnetic forces is essential for solving the problem.
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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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