Question

What is common between Biot-Savart’s law and Ampere’s circuital law ?

Answer 1

Answer:

The common point between both the laws is that both laws can be used to calculate the total magnetic field produced at a point due to various currents .

Thanks ♥️

Answer 2

Answer:

common between both the laws is both the laws are used to calculate the magnetic field produced at a point due to current carrying through various conductors. Therefore it is consistent with ampere's circuital law.  

Explanation:

we know that Biot-savarts's law states that the magnetic field produced due to  due to current carrying conductor is directly proportional to the length of current I, element dl, the sine of the angle θ between the direction of the current  and the vector joining the given point of a magnetic field and the current element. It is inversely proportional to the square of the distance of the given point from the current element r.

Mathematically represented as :-

              dB=K (I dl sinθ)/r^2

According to amperes circuital law it states that the line integral of the magnetic field around a closed is μ times the total current I.

Mathematically represented as :-

                ∫$B.dl$=μI

Hence we can conclude that both laws are used to calculate the magnetic field due to current carrying through various conductors.

project code-#SPJ2