Question

What is Biot Savart's Law?​

Answer 1

Answer:

In physics , specifically electromagnetism , the bio savart's law is an equation describing the magnetic field generated by a constant electric current . It relates the magnetic field to the magnitude , direction , length and proximity of the electric current

Answer 2

$\sf\huge\bold{Answer:}$

• Statement :

Biot Savart's Law states that magnetic field of small current element is

1. directly proportional to current → dB∝I
2. directly proportional to length element → dB∝dL
3. inversely proportional to square of radius → dB∝1/r²

• $\bf\underline{Mathematical \:expression :}$

$\boxed{ \tt\red {\overrightarrow{dB} = \frac{ \mu_{0} }{4\pi} \frac{I \overrightarrow{dL}}{r {}^{2} } } }$

• Applications :

1. Biot–Savart law is used to calculate magnetic responses even at the atomic or molecular level.
2. It is also used in aerodynamic theory to calculate the velocity induced by vortex lines.