Confirm Electric Field at Point in Magnetic Field

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Homework Help Overview

The discussion revolves around calculating the electric field at a point in a magnetic field, given the velocity of an electron and the magnetic field vector. The original poster attempts to find the electric field using the Lorentz force equation and cross product, but encounters discrepancies with the textbook answer.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the Lorentz force equation and the cross product to find the electric field. There are questions about the signs of the components of the electric field and the validity of the textbook answer.

Discussion Status

Some participants express agreement with the original poster's calculations, while others suggest that there may be an error in the textbook. The discussion includes questioning the signs of the electric field components and the proper application of the relevant formula.

Contextual Notes

There is uncertainty regarding the correctness of the textbook answer and the signs of the electric field components, which are under discussion. Participants are also clarifying the formula used in the context of the problem.

formulajoe
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an electron with velocity u = (3,12,-4) x 10^5 experiences no net force at a point in a magnetic field B = ((10,20,30)/ Find E at that point.

I found the magnetic force by u cross B. Set Fe equal to Fm. Divided by q to get E = u cross B. but I am not getting the same answer as the back of the book. just need a confirmation.
im getting E = (4.4 x 10^7, -1.3 x 10^7, -6 x 10^6)
the book has the same number for the x direction, its just 4400.
 
Last edited:
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[tex]m\vec{0}=q_{e}\left(\vec{E}+\vec{u}\times\vec{B}\right)[/tex]

That's all u need.Use it propertly.

Daniel.
 
I came up with the same numbers. It's just a simple cross product, the answers in the book must be wrong.
 
Signs should be reversed though, from bringing E to the other side of the Lorentz force equation.
 
Are u sure that [itex]E_{x}[/itex] is not [itex]-4.4\cdot 10^{7} \frac{V}{m}[/itex]...?

Daniel.
 
Last edited:
what is that formula for?
 

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