Biot savarat law | magnetic force of a current element from magnetic force of a moving charge

 The Biot-Savart law is an equation in electromagnetism that describes the magnetic field produced by a steady current in space.

•  It relates the magnetic field generated at a point in space to the current flowing through a small element of a conductor and the distance from the element to the point.

• Mathematically, the Biot-Savart law is expressed as:
•  B(r) = (μ₀/4π) ∫ (I dL × r̂) / r²
•  B(r) is the magnetic field vector at a point r, μ₀ is the permeability of free space, I is the current flowing through the conductor, dL is an infinitesimal element of the conductor, r̂ is the unit vector pointing from the element to the point r, and r is the distance between the element and the point.
  

Applications:

• The Biot-Savart law is widely used to calculate the magnetic field produced by various current-carrying geometries, such as straight wires, loops, and solenoids. 
  
• It is a fundamental principle in understanding the behavior of magnetic fields and is an essential tool in electromagnetism.
  

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