Force of an electron with magnetic and electric fields and velocity

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Homework Help Overview

The discussion revolves around the force experienced by an electron moving through electric and magnetic fields, specifically with given values for velocity, electric field, and magnetic field. The context includes the application of the Lorentz force equation.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of the cross product of velocity and magnetic field, as well as the subsequent application of the Lorentz force equation. There are attempts to clarify the notation used in the calculations and the reasoning behind the results obtained. Some participants express confusion regarding discrepancies between their results and those provided by an external source.

Discussion Status

The discussion is ongoing, with participants providing feedback on each other's calculations and notation. There is acknowledgment of potential errors in the application of the right-hand rule and the need for clearer expression of vector products. The original poster is seeking clarification on the differences between their results and those from masteringphysics.com.

Contextual Notes

Participants note that the original calculations may have involved errors in the right-hand rule application and that the results differ from those expected according to an external source. There is a focus on ensuring clarity in future calculations and expressions.

shadowtracker
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Homework Statement


An electron travels with v= 5.90(10)^{6} i through a point in space where E=<2.30 (10)^{5} i, -2.30(10)^{5} j> and B = <-0.200 k>


Homework Equations


F=q(E+(v x B)


The Attempt at a Solution


I did q of the electron equals 1.6(10)^-19 the with v x B = -.2k (5.9)10^6 i= -1.18(10)^6 j getting 1.6(10)^-19<2.3(10)^5 i, -2.3(10)^5 j + -1.18(10)^6 j> = <3.68(10)^-13 i , -1.41(10)^-13>
 
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shadowtracker said:

Homework Statement


An electron travels with v= 5.90(10)^{6} i through a point in space where E=<2.30 (10)^{5} i, -2.30(10)^{5} j> and B = <-0.200 k>

Homework Equations


F=q(E+(v x B)

The Attempt at a Solution


I did q of the electron equals 1.6(10)^-19 the with v x B = -.2k (5.9)10^6 i= -1.18(10)^6 j getting 1.6(10)^-19<2.3(10)^5 i, -2.3(10)^5 j + -1.18(10)^6 j> = <3.68(10)^-13 i , -1.41(10)^-13>

Looks like it's OK.

I would prefer for clarity and of course the opportunity to minimize future problems to have expressed your X product a little more rigorously.

More like <5.9*106 i> X <-.2 k> = <-1.18*106 j> just to keep track of where things came from.
 
Alright i will take that into account on future questions...and i guess i should have clarified that masteringphysics.com said i was incorrect and that the correct answer was <-3.68E-14, -1.52E-13> so I'm wondering what they did to get there.
 
shadowtracker said:
Alright i will take that into account on future questions...and i guess i should have clarified that masteringphysics.com said i was incorrect and that the correct answer was <-3.68E-14, -1.52E-13> so I'm wondering what they did to get there.

Sorry, I scanned it and didn't calculate it out. I thought the X product was OK. But I had the axes reversed when I did the right hand rule.
I think on closer inspection it's <i> X <-k> = <+j>, not <-j>.

So try ...
-1.6*10-19*(2.3*105 i, (11.8 - 2.3)*105 j)
 

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