Can someone please explain to me how the Biot Savart law is derived?

In summary, the Biot-savart law was not derived historically, but rather found through experimental data. To derive it, one can use Maxwell's equations, which are also influenced by multiple empirical results including the Biot-savart law.
  • #1
jdou86
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Homework Statement
Precised to its constant . Thank you!
Relevant Equations
Below
Problem Statement: Precised to its constant . Thank you!
Relevant Equations: Below

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  • #2
Historically, as far as I know, the Biot-savart law was not derived. It was empirically found from experimental data.

If you want to derive it, use Maxwell's equations. But, keep in mind that Maxwell's equations are in fact shaped by multiple empirical results, one of them is Biot-savart law.
 
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  • #3
Phylosopher said:
Historically, as far as I know, the Biot-savart law was not derived. It was empirically found from experimental data.

If you want to derive it, use Maxwell's equations. But, keep in mind that Maxwell's equations are in fact shaped by multiple empirical results, one of them is Biot-savart law.
Thank you my friend!
 
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