Magnetic Fields and insulated wires

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Homework Help Overview

The problem involves calculating the magnetic fields generated by two insulated wires carrying current, which cross at an angle without making contact. The scenario specifies two points at a defined distance from the intersection of the wires, where the magnetic field's magnitude and direction are to be determined.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the formula for the magnetic field due to a long straight wire and calculates the fields at two points based on their distances from the wires. Some participants question the clarity of the setup, specifically the locations of the points in relation to the wires.

Discussion Status

The discussion is ongoing, with the original poster expressing uncertainty about their calculations. A participant has requested a visual representation to clarify the problem setup, indicating that further exploration of the scenario is needed.

Contextual Notes

The original poster has provided specific distances and angles but has not included a diagram, which may be affecting the clarity of the discussion. There is also a lack of consensus on the correctness of the calculations presented.

Mitchtwitchita
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Homework Statement



Two insulated wires cross at a 30 degree angle but do not make electrical contact. Each wire carries a 5.0 A current to the left through their respective wires. There are two points. One point lies between the bottom 150 degree angle, and the other lies between the right 30 degree angle. Each point is 4.0 cm from the intersection and equally distant from both wires. What are the magnitude and direction of the magnetic fields at points 1 and 2?

Homework Equations



B = [(mu)I]/2(pi)r

The Attempt at a Solution



I1 = I2 = 5.0 A
r1 = r2 = 0.040msin75degrees = 0.039m
r3 = r4 = 0.040msin15degrees = 0.010m

Bwire1onp1 = Bwire2onp1 = [(Mu)I]/[2(pi)r]
=[(1.257 x 10^-6 T*m/A)(5.0 A)]/[2(pi)(0.039 m)]
=2.6 x 10^-5 T

Bwire1onp2 = Bwire2onp2 = [(1.257 x 10^-6 T*m/A)(5.0 A)]/[2(pi)(0.010 m)]
=1.0 x 10^-4 T

Since Bw1onp1 and Bw2onp1 are both out of the page, then they add to give 5.2 x 10^-5 T out of the page

Since Bw1onp2 comes out of the page, and Bw2onp2 goes into the page, then they cancel to give 0

This doesn't seem right to me, can anybody tell me if I'm doing something wrong please?
 
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Could you please show a picture? It is not clear where those points are.

ehild
 
IMG_0002.jpg
 
You are right.
 

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