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Bio Sawart's Law


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Published on:  on 10th Apr, 2018

Description:

Biot-Savart’s law states that for the generation of magnetic field there should be a current and to generate current in a conductor there should be a length along which the charge can travel. This length is known as current element.

Current Element

The magnetic field due to the current element idl at a point is given by the expression -

dB α
idlsinθ/r2

∴ dB =
μ0/
idlsinθ/r2

where,

idl = Current element, its direction is same as that of current.

r = Position vector of point P w.r.t. current element.

θ = Angle between current element and position vector.

μ0 = Permeability of free space and μ0 = 4π × 10-7 T mA-1

Observations

  • If current element is longer then the strength of magnetic field will be greater.

  • As the point moves away from the conductor, the strength of magnetic field keeps on decreasing.


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