Question

write biot-Savart expression for the magnetic field due to a current element???

Answer 1

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Answer 2

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we know that magnetic field is produced as a effect by a current carrying conductor.

so basically biot-savart expression is a tool to calculate this magnetic fueld's magnitude.

basic points:

the current carrying conductor will be called as segment.

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we will take a conductor with a current I passing through it.

Let the length (total) be L

point sized length = dL

the vector formed would be :

IdL

by expirement,

dB proportional to I

dB proportional to dL

dB inversely proportional to tquare of the distance |r|

Thus,

dB α Idl × r / r3 = (μ0 / 4π ) × (Idl × r /r3)

Therefore the magnitude of this field is:

$\boxed {|dB| = (μ0 / 4π) × (Idl sinθ / r2)}$

where,

μ0/4π is a constant value.

medium should be vacuum