Help with unit vector for a magnetic field

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SUMMARY

The discussion centers on calculating the magnetic field generated by a proton moving with a specific velocity. The participants analyze the cross product of the velocity vector and the position vector, noting that the calculation involves the unit vectors i, j, and k. A key point raised is the ambiguity regarding the charge's sign and the necessity for a clear problem statement to facilitate understanding. The participants conclude that a clearer representation of the problem would enhance comprehension and accuracy in solving the magnetic field calculation.

PREREQUISITES
  • Understanding of vector mathematics, specifically cross products.
  • Familiarity with magnetic fields and their relationship to moving charges.
  • Knowledge of unit vectors in three-dimensional space.
  • Basic principles of electromagnetism, particularly the Lorentz force law.
NEXT STEPS
  • Review the principles of the Lorentz force and its application in magnetic field calculations.
  • Study vector cross product operations in three-dimensional space.
  • Examine the effects of charge sign on magnetic field direction and magnitude.
  • Learn how to formulate clear problem statements in physics to aid in problem-solving.
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Students and educators in physics, particularly those focusing on electromagnetism, as well as anyone involved in solving vector-related problems in physics.

guyvsdcsniper
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Homework Statement
What is the magnetic field at the position of the dot in the figure?
Relevant Equations
Cross Product
So when evaluation the cross product of the velocity of the charge and the unit vectors associated with the point I am getting

v x r = j x [ i + j].
Well j x j is 0.
j x i = -k, but yet the answer is positive. Why is this?

Screen Shot 2021-11-07 at 9.15.18 PM.png
 
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The vector r is the position of the point relative to the proton, not the position of the proton.
 
Why should there be a magnetic field? What is given in this problem that you did not include in the Homework Statement and is not shown in the picture you posted? We are not even told the sign of the charge.
 
kuruman said:
Why should there be a magnetic field? What is given in this problem that you did not include in the Homework Statement and is not shown in the picture you posted? We are not even told the sign of the charge.
The picture shows a proton at (1,1) with a given velocity and asks for the magnetic field at (-1,-1). It seems pretty clear to me.
 
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Orodruin said:
The picture shows a proton at (1,1) with a given velocity and asks for the magnetic field at (-1,-1). It seems pretty clear to me.
Yes, I see that now that I switched browsers.
 
kuruman said:
Yes, I see that now that I switched browsers.
Yes, I agree that we can figure out the problem which likely is to be solved.

However, I agree with your previous post in that a clear problem statement would be a great help. Especially one written as text and readable with any browser.
 

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