Finding Magnetic Field at Point P

AI Thread Summary
Two parallel wires, 13 cm apart, carry 25A currents in the same direction, and the magnetic field at point P, located 12 cm from one wire and 5 cm from the other, needs to be determined. The formula for the magnetic field is B = (mu/2pi) * (I/r), but the user is struggling with the angles for calculating the components of the magnetic field. They have identified angles of 67.4 and 22.6 degrees but are unsure how to apply them for each wire. Clarification is needed on whether to use the angles directly or adjust them since the magnetic field is perpendicular. Additional context about the arrangement of the wires and point P is requested to provide better guidance.
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?
 
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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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