Biot-Savart Law: Proven or Guessed?

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The Biot-Savart Law was initially deduced by Laplace from experimental observations made by Biot and Savart. It is connected to Maxwell's equations, as one can be derived from the other. While some view the law as a guess that aligns with Maxwell's generalizations, it is fundamentally based on empirical evidence. The validity of the Biot-Savart Law is supported by experimental results, affirming its status as a proven physical law. Ultimately, the relationship between the two laws highlights the importance of experimental verification in physics.
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Is the Biot Savart law similar to the coulomb law in that it is something that is guessed initially, and later shown to give the same solution that Maxwell's equations give (except Maxwell's equations are a generalisation), or is it something that is proven? And if it is proven, could someone provide that proof.

Thanks
 
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Physical laws are based on experimental observation.
The B-S law was deduced by Laplace, based on measurements by Biot and Savart.
Maxwell later derived one of his equations from it.
You can derive Max's equation from B-S or B-S from Max's equation, so they are connected, but the proof is in the pudding (experiment).
 
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