Confirm Electric Field at Point in Magnetic Field

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SUMMARY

The discussion centers on calculating the electric field (E) at a point in a magnetic field (B) using the Lorentz force equation. An electron with a velocity vector u = (3,12,-4) x 10^5 m/s experiences no net force, leading to the equation E = u x B. The calculated electric field components were E = (4.4 x 10^7, -1.3 x 10^7, -6 x 10^6) V/m, which matched the book's x-component but differed in sign. Participants confirmed that the book's answer may be incorrect, particularly regarding the sign of E_x.

PREREQUISITES
  • Understanding of the Lorentz force equation
  • Familiarity with vector cross products
  • Knowledge of electric and magnetic fields
  • Basic principles of electromagnetism
NEXT STEPS
  • Review the Lorentz force equation and its applications in electromagnetism
  • Practice vector cross product calculations with different velocity and magnetic field vectors
  • Investigate common errors in textbook solutions regarding electric field calculations
  • Explore the implications of electric and magnetic fields on charged particles
USEFUL FOR

Students and professionals in physics, particularly those studying electromagnetism, as well as educators looking to clarify concepts related to electric and magnetic fields.

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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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m\vec{0}=q_{e}\left(\vec{E}+\vec{u}\times\vec{B}\right)

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 E_{x} is not -4.4\cdot 10^{7} \frac{V}{m}...?

Daniel.
 
Last edited:
what is that formula for?
 

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