Question

State Biot-savart law?​

Answer 1

Answer:

According to Biot Savart law the magnetic field at a point is directly proportional to the electric current passing through a mettalic wire.

Answer 2

• 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

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

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

• 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.