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What is Biot Savart Law?

Edwiin
Field: Power switch
China

The Biot-Savart Law is employed to determine the magnetic field intensity dH near a current-carrying conductor. In other words, it describes the relationship between the magnetic field intensity generated by a source current element. This law was formulated in 1820 by Jean-Baptiste Biot and Félix Savart. For a straight wire, the direction of the magnetic field adheres to the right-hand rule. The Biot-Savart Law is also referred to as Laplace’s law or Ampère’s law.

Consider a wire carrying an electric current I and also consider an infinitely small length of a wire dl at a distance x from point A.

The Biot-Savart Law states that the magnetic field intensity dH at a point A due to a current I flowing through a small current element dl obeys the following relationships:
  • Directly proportional to the current I.
  • Directly proportional to the length of the current element dl.
  • Directly proportional to the sine of the angle θ between the direction of the current (represented by dl and the vector joining the current element to point A.
  • Inversely proportional to the square of the distance r from the current element to point A.

where k is constant and depends on the magnetic properties of the medium.

  • µ0 = absolute permeability of air or vacuum and its value is 4 x 10-7 Wb/A-m
  • µr= relative permeability of the medium.
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