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

1. What is the purpose of the Biot Savart law?

The Biot Savart law is used to calculate the magnetic field produced by a steady current in a wire. It helps us understand and predict the behavior of magnetic fields in various situations.

2. How was the Biot Savart law discovered?

The law was first formulated by French physicists Jean-Baptiste Biot and Félix Savart in 1820. They observed that the magnetic field produced by a steady current is directly proportional to the current, the length of the wire, and the sine of the angle between the wire and the point of observation.

3. What are the key components of the Biot Savart law?

The main components of the law are the current, the length of the wire, and the distance between the wire and the point at which the magnetic field is being measured. Additionally, the angle between the wire and the point of observation also plays a crucial role in the calculation.

4. Is the Biot Savart law applicable to all types of currents?

Yes, the law is applicable to all types of steady currents, whether it is a direct current (DC) or an alternating current (AC). The only requirement is that the current must be steady and not changing over time.

5. How is the Biot Savart law mathematically derived?

The law is derived from the basic principles of electromagnetism, namely Ampere's Law and the Lorentz Force Law. It involves vector calculus and integration to calculate the magnetic field at a specific point due to a current-carrying wire.

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