Magnetic Force away from Long Pair of Wires

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SUMMARY

The discussion focuses on calculating the magnetic field generated by a long pair of wires carrying a direct current of 20.2 amps, positioned 23mm apart. The formula used is B=(µo/2pi)*(I/d), where µo is the permeability of free space (4π x 10^-7). The user initially struggles with the calculation but resolves the issue by correctly utilizing brackets in their calculator. The final magnetic field value is confirmed to be 1.00 x 10^-5 T, as stated in the textbook.

PREREQUISITES
  • Understanding of magnetic fields and their calculations
  • Familiarity with the formula B=(µo/2pi)*(I/d)
  • Basic knowledge of direct current (DC) circuits
  • Proficiency in using scientific calculators for complex equations
NEXT STEPS
  • Study the concept of magnetic fields around parallel wires
  • Learn about the applications of Ampère's Law in electromagnetism
  • Explore the effects of varying current on magnetic field strength
  • Investigate the role of distance in magnetic field calculations
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding the principles of electromagnetism and magnetic field calculations.

Tjvelcro
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Homework Statement



A long pair of wires conducts 20.2 (amps) od dc current to, and from, an instrument. The wires are 23mm apart, what is the magnetic field 9.7cm from their midpoint in their plane?

Homework Equations



B=(µo/2pi)*(I/d)


The Attempt at a Solution



µo = 4pix10^-7
I = 20.2 amps
d = ? = distance to the wire

I first need to find d for one wire then d for the other so I can combine them to get the total Magnetic force at the point 9.7cm away from the wires.

I have the answer from the back of the book and it says 1.00x10^-5 but I don't know how to get it.

First I drew a diagram

___________________ Wire 1
23mm between
___________________ Wire 2


. Point 9.7 cm from the midpoint of the plane.

Then I used the formula twice, once for each wire but I don't get the right answer

Thanks

Tjvelcro
 
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Nevermind, I was not using my calculator correctly. Brackets are very helpful :p
 

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