Finding Magnetic Field at Point P

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SUMMARY

The discussion focuses on calculating the magnetic field at point P due to two parallel wires carrying 25A currents, positioned 13 cm apart. The magnetic field is determined using the formula B = (μ/2π) * (I/r), where the distances from point P to each wire are 12 cm and 5 cm, respectively. The user struggles with identifying the correct angles for calculating the components of the magnetic field, specifically using angles of 67.4° and 22.6°. Clarification on the relationship between the angles and the magnetic field components is sought.

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  • Understanding of magnetic fields generated by current-carrying wires
  • Familiarity with the Biot-Savart Law and its application
  • Knowledge of trigonometric functions and their use in physics
  • Ability to analyze vector components in a two-dimensional plane
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  • Learn about vector decomposition in physics for resolving components
  • Explore examples of magnetic field calculations involving multiple wires
  • Review trigonometric identities and their applications in physics problems
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Students in physics, particularly those studying electromagnetism, as well as educators looking for examples of magnetic field calculations involving multiple current-carrying conductors.

0338jw
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Homework Statement


Two long thin parallel wires 13 cm apart carry 25A currents in the same direction. Determine the magnetic fild at point P 12 cm from one wire and 5 cm from the other.

Homework Equations


B=mu/2pi * I/r

The Attempt at a Solution



I have already solved this problem, and I have the answers. The problem is I wasn't too specific when doing it and now can't figure out for the life of me how I got the angle I used!:eek: when I use ratios like (.12/.13) instead of Cos theta it works out opposite, for the other current carrying wire. How do I know what is theta? I remember vaguely doing something like 90-theta then doing cos/sin of that to find the xy components. Helping me with this would mean a LOT to me guys. I checked the book for similar examples, none. Only ones where forces are all x or all y with no components.EDIT: I have the angles now, but I'm still unsure which to use for which current carrying wire. I have 67.4 and 22.6. Do I do 90 - the angle I get fr each current carrying wire since the B field is perpendicular?
 
Last edited:
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Hi 0338jw,

0338jw said:

Homework Statement


Two long thin parallel wires 13 cm apart carry 25A currents in the same direction. Determine the magnetic fild at point P 12 cm from one wire and 5 cm from the other.


Homework Equations


B=mu/2pi * I/r


The Attempt at a Solution



I have already solved this problem, and I have the answers. The problem is I wasn't too specific when doing it and now can't figure out for the life of me how I got the angle I used!:eek: when I use ratios like (.12/.13) instead of Cos theta it works out opposite, for the other current carrying wire. How do I know what is theta? I remember vaguely doing something like 90-theta then doing cos/sin of that to find the xy components. Helping me with this would mean a LOT to me guys. I checked the book for similar examples, none. Only ones where forces are all x or all y with no components.


EDIT: I have the angles now, but I'm still unsure which to use for which current carrying wire. I have 67.4 and 22.6. Do I do 90 - the angle I get fr each current carrying wire since the B field is perpendicular?

Are you referring to finding the components of each field? That would depend on the angle that the line to point P makes with the coordinate axes. Are the point and the two wires all in a line, or are they arranged somehow else? Can you upload a picture, or provide more description?
 

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