Magnetic Field at Center of Loop

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SUMMARY

The strength of the magnetic field at the center of a loop can be calculated using the formula B = Mu_0*I/(2*R). However, in this discussion, the scenario involves a loop combined with a straight wire, which complicates the application of this formula. The correct approach is to use the principle of superposition, adding the magnetic field contributions from both the loop and the straight wire. This method ensures accurate calculations for magnetic fields in complex configurations.

PREREQUISITES
  • Understanding of magnetic field equations, specifically B = Mu_0*I/(2*R)
  • Knowledge of superposition principle in electromagnetism
  • Familiarity with the geometry of magnetic fields from loops and straight wires
  • Basic concepts of current-carrying conductors
NEXT STEPS
  • Study the principle of superposition in electromagnetism
  • Learn about magnetic fields generated by straight wires
  • Explore the effects of loop geometry on magnetic field strength
  • Investigate applications of Ampère's Law in complex circuits
USEFUL FOR

Students and educators in physics, electrical engineers, and anyone interested in understanding magnetic fields in complex configurations involving loops and straight wires.

tomizzo
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Homework Statement



What is the strength of the magnetic field at the center of the loop in the figure?

See attachment

Homework Equations



B = Mu_0*I/(2*R)

The Attempt at a Solution



I plug in the information to this equation and get .00038 Tesla which is incorrect. Does the magnetic field due to a loop equation I listed above not apply to this problem?
 

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The loop is fine, but the cable is not just a simple loop...
 
mfb said:
The loop is fine, but the cable is not just a simple loop...

What is special about it?
 
Do you see the difference between the shape of the cable and a circle?
 
mfb said:
Do you see the difference between the shape of the cable and a circle?

There is some over lap. I thought it still fitted the formula above due to the fact that it is a coil with a single turn.
 
I spy with my little eye: a loop and a straight wire carrying a current!
 
BvU said:
I spy with my little eye: a loop and a straight wire carrying a current!

Using superposition, you will simply added the magnetic field due to the straight wire to the magnetic field due to the loop. Thank you!
 
Bravo! and: you're welcome.
 

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