Please Help to understand?

Question

I cannot understand biot-savart law clearly.i visit wikipedia,but it's not sufficient to understand.Please explain me biot-savart law clearly as you can.(with easy example)

Answer 1

the law states that if a wire with length L carries a current i, then a magnetic field is induced... the magnetic field b (at a point r away) should be induced....

the vector notations like dL (hat) and r (hat) are important because the direction of your induced magnetic field is determined using vecor algebra.... you can use the right thumb rule for that too.... the direction of the induced magnetic field depends on the direction of your current that pass through the wire...

notice the magnetic field (look at the formula) is a vector quantity since length vector is crossed to the displacement vector....
(vector cross vector is vector
and vector dot vector is scalar)

Answer 2

Biot-Savart Law: In the plainest language I can manage, the law basically relates magnetic fields (strength and direction) to the current (strength and direction) used to create it.

The actual formula shows that the derivative of the magnetic field is proportional to: the current magnitude, the incremental length of the conductor, and the direction from the conductor to the point of the field. It also happens to be inversely proportional to the square of the distance between the conductor and the point.

Basically, as you use a stronger current, you'll get a stronger magnetic field. The farther you go from the conductor, the less field you will be able to measure.