Magnetic Field at Center of Loop

AI Thread Summary
The discussion focuses on calculating the magnetic field at the center of a loop, where the standard formula B = Mu_0*I/(2*R) was initially applied but yielded an incorrect result. Participants noted that the configuration includes both a loop and a straight wire, which complicates the calculation. It was suggested to use the principle of superposition to combine the magnetic fields from both the loop and the straight wire. The conversation highlights the importance of recognizing the unique shape of the cable in relation to the formula. Ultimately, the correct approach involves adding the magnetic fields from both components to find the total strength at the center.
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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