Biot-Savart's Law - Magnetism, Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

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Physics : Biot-Savart's Law - Magnetism, Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

The document Biot-Savart's Law - Magnetism, Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev is a part of the Physics Course Physics for IIT JAM, UGC - NET, CSIR NET.
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Biot-Savart Law

The Biot-Savart Law relates magnetic fields to the currents which are their sources. In a similar manner, Coulomb's law relates electric fields to the point charges which are their sources. Finding the magnetic field resulting from a current distribution involves the vector product, and is inherently a calculus problem when the distance from the current to the field point is continuously changing.

Biot-Savart`s Law - Magnetism, Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

See the magnetic field sketched for the straight wire to see the geometry of the magnetic field of a current.


Magnetic field contribution of a current element

Each infinitesmal current element makes a contribution to the magnetic fieldat point P which is perpendicular to the current element, and perpendicular to the radius vector from the current element to the field point P.

Biot-Savart`s Law - Magnetism, Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

The relationship between the magnetic field contribution and its source current element is called the Biot-Savart law.

The direction of the magnetic field contribution follows the right hand rule illustrated for a straight wire. This direction arises from the vector product nature of the dependence upon electric current.

 

Biot-Savart Law Applications

Some examples of geometries where the Biot-Savart law can be used to advantage in calculating the magnetic field resulting from an electric currentdistribution.

Biot-Savart`s Law - Magnetism, Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

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