How is the Biot Savart law derived?

[jdou86]

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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[Phylosopher]

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.

 

[jdou86]

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!