Magnetic field due to a long, straight wire

AI Thread Summary
The discussion centers on calculating the magnetic field around a long, straight wire using Ampere's law, leading to a discrepancy between a calculated current of 9.14 MA and a textbook value of 3.72 MA. The user expresses confusion over the differing results, suggesting that the textbook might be incorrect. Another participant proposes finding the distance from the wire that would yield a magnetic field of 91.4 T when the current is 3.72 MA. The conversation emphasizes the importance of verifying calculations and understanding the relationship between current, distance, and magnetic field strength. Ultimately, the focus remains on reconciling the differences in the current values and the resulting magnetic field calculations.
Meow12
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Homework Statement
A magnetic field of 91.4 T has been achieved at the High Magnetic Field Laboratory in Dresden, Germany. Find the current needed to achieve such a field 2.00 cm from a long, straight wire.
Relevant Equations
Ampere's law: ##\displaystyle\oint\vec B\cdot d\vec l=\mu_0 I##
From Ampere's law, ##\displaystyle\oint\vec B\cdot d\vec l=\mu_0 I## where ##r## is the distance from the wire

##B\cdot 2\pi r=\mu_0 I##

##\displaystyle 91.4\times 2\pi\left(\frac{2}{100}\right)=4\pi\times 10^{-7} I##

##I=91.4\times 10^5\ A=9.14\ \rm{MA}##

But the answer given in the textbook is ##3.72\ \rm{MA}##. Where have I gone wrong?
 
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Your work and your numerical answer look good to me.
 
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Likes MatinSAR, Delta2 and Meow12
Thanks; I guess the textbook is wrong, then.
 
I also agree, but try to find the distance such that the total current is as textbook says.

I mean to find the distance from the wire such that at this distance the magnetic field is 91.4T when the wire carries 3.72MA
 
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