Question

Write down the vector form of biot savart law. indicate the direction of magnetic field

Answer 1

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Answer 2

Answer:

The Biot Savart Law exists as an equation describing the magnetic field generated by a constant electric current.

Explanation:

The Biot Savart Law exists as an equation describing the magnetic field generated by a constant electric current. It describes the magnetic field to the magnitude, direction, length, and proximity of the electric current. Biot–Savart law exists consistent with both Ampere’s circuital law and Gauss’s theorem. The Biot Savart law exists fundamental to magnetostatics, playing a role equivalent to that of Coulomb’s law in electrostatics.

In vector form, Biot-Savart's law can be written as

$d B \propto \frac{l d I \times r}{r^{3}}=\frac{\mu_{0}}{4 \pi} \cdot \frac{l d I \times r}{r^{3}} \quad \ldots \ldots(i)$

The direction of dB would be the direction of the cross-product vector (dI×r).

which is characterized by the right-handed screw rule or right-hand thumb rule. In this law, the term ld, i.e. the current-carrying segment exists as the vector source and produces the magnetic field.

The similarity between Biot-Savarts. Law and Coulomb's Law

Both magnetic and electric fields at a point exist inversely proportional to the square of the distance between the field source and the point.

The distinction between Biot-Savart's Law and Coulomb.s Law

The source of the electrostatic field exists scalar in nature, whereas the source of the magnetic field exists vector in nature.

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