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

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SUMMARY

The Biot-Savart law is primarily an empirical result derived from experimental data rather than a product of theoretical derivation. To derive the law, one should utilize Maxwell's equations, which themselves are influenced by various empirical findings, including the Biot-Savart law. This highlights the interconnectedness of empirical observations and theoretical frameworks in electromagnetism.

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  • Understanding of Maxwell's equations
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  • Concept of magnetic fields and their sources
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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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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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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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