Find the magnitude of the electromagnetic force on electron?

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Homework Help Overview

The problem involves calculating the magnitude of the electromagnetic force on an electron in the presence of uniform electric and magnetic fields. The electric field is directed due east, while the magnetic field is also directed due east. The electron is moving due south with a specified velocity.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the relevant equations for electromagnetic force but encounters difficulties with the calculations. Some participants suggest ensuring the correct use of vector addition, while others mention the relationship between the forces being perpendicular and the potential use of the Pythagorean theorem.

Discussion Status

The discussion is ongoing, with participants providing guidance on vector addition and the application of the Pythagorean theorem. The original poster expresses uncertainty about their approach and seeks further clarification on their calculations.

Contextual Notes

The original poster has indicated that their previous calculation resulted in an incorrect answer, leading to questions about their methodology and understanding of the problem setup.

prokaryote

Homework Statement


In a certain region of space, there is a uniform electric field, E = 4.28 x 104 V/m directed due east, and a uniform magnetic field B = 0.071 T, also directed due east. What is the magnitude of the electromagnetic force on an electron moving due south with a velocity of 3.09 x 106 m/s?

Homework Equations


Fb = qB(v*sinθ), where Fb is the force of the magnetic field, B is the magnitude of the magnetic field, v is the velocity.
Fb + Fe = F(electromagnetic force)

The Attempt at a Solution


I determined that the electric field would generate a westward force on the electron, and the magnetic field would exert a force into the page. I tried to use the relationship Fb + Fe = Ftotal and got 4.20*10^-14 N, but it was wrong. I'm not really sure what else to try.
 
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You have the directions correct. Be sure to use vector addition.
 
TSny said:
You have the directions correct. Be sure to use vector addition.
Ok, I tried doing vector addition but I'm pretty stuck. Could you please take a look at my work and let me know if I'm completely off? I feel lost
https://imgur.com/a/0HwuI
 

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