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(B) The Biot-Savart law states that the magnetic field $d\vec B$ due to a current element $I d\vec l$ at a position vector $\vec r$ is given by the fo

Vedclass · Accepted Answer

$I d\vec l 	imes \vec r$

Vedclass · Answer

(B) The Biot-Savart law states that the magnetic field $d\vec B$ due to a current element $I d\vec l$ at a position vector $\vec r$ is given by the formula:$d\vec B = \frac{\mu_0}{4\pi} \frac{I d\vec l 	imes \vec r}{r^3}$.In this vector product,the order of the cross product is $d\vec l 	imes \vec r$. Since the cross product is anti-commutative (i.e.,$\vec A 	imes \vec B = -(\vec B 	imes \vec A)$),the direction is specifically determined by the term $I d\vec l 	imes \vec r$. Therefore,option $(B)$ is the correct representation.

In the Biot-Savart law,the direction of the magnetic field is determined by which of the following cross products in the expression $d\vec B = \frac{\mu_0}{4\pi} \frac{I d\vec l \times \vec r}{r^3}$?

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