Question

What is the Formula of Biot-Savart's Law?

Answer 1

Determine the formula of Biot-Savart's Law.

A magnetic field produced by a current-carrying section is given by Biot-law, which is an equation. Each section is used to calculate the current element, which is a vector quantity.

1. Take the above-shown current-carrying wire $\mathrm{i}$ in a certain direction.
2. Take a small wire element of length $dl$.
3. This element's direction is parallel to the current's, forming a vector $\mathrm{i}dl$.
4. Biot-Law savarts may be used to calculate the magnetic field created at a given position as a result of this little element.

Let the angle between the two be since the position vector of the point in question taken from the current element be.

$\left|\mathrm{dB}\right|=\left(\frac{{\mathrm{\mu }}_0}{4\mathrm{\pi }}\right)\left(\frac{\mathrm{Idl}\mathrm{sin\theta }}{{\mathrm{r}}^2}\right)$

Here,

• ${\mu }_0$ represents the permeability of free space and is equal to $4\mathrm{\pi }\times {10}^{-7}\frac{\mathrm{Tm}}{\mathrm{A}}$.

Hence, the formula of biot-savart's law is $\left|\mathrm{dB}\right|=\left(\frac{{\mathrm{\mu }}_0}{4\mathrm{\pi }}\right)\left(\frac{\mathrm{Idlsin\theta }}{{\mathrm{r}}^2}\right)$.