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Definition and Meaning of Biot-Savart Law
The Biot-Savart law states that the magnetic field at a point from a small segment of current-carrying conductor is directly proportional to the current, the length of the element, and the sine of the angle between the element and the line joining it to the point. It is inversely proportional to the square of the distance between them.

This principle mathematically quantifies how current in conductors creates magnetic fields—central to all electromagnetism topics like magnetic effects of current and magnetism and electromagnetic induction.

Biot-Savart Law Formula and Integral Form
The formula for Biot-Savart law is:


dB = (μ0 / 4π) [I (dl × r̂)] / r2 is the vector form. For extended conductors, integrate: B = (μ0 / 4π) ∫ (I dl × r̂) / r2.

Direction of magnetic field by right thumb rule