Which of the following statements is correct?

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(D) $1$. According to the Biot-Savart Law,the magnetic field $d\vec{B}$ due to a current element $I d\vec{l}$ is given by $d\vec{B} = \frac{\mu_0}{4\p

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All of the above.

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(D) $1$. According to the Biot-Savart Law,the magnetic field $d\vec{B}$ due to a current element $I d\vec{l}$ is given by $d\vec{B} = \frac{\mu_0}{4\pi} \frac{I d\vec{l} 	imes \vec{r}}{r^3}$. Since it involves a cross product,$d\vec{B}$ is perpendicular to both $d\vec{l}$ and the position vector $\vec{r}$. Thus,statement $A$ is correct.$2$. The electric field $\vec{E}$ of a point charge $q$ is given by $\vec{E} = \frac{1}{4\pi\epsilon_0} \frac{q}{r^2} \hat{r}$,where $\hat{r}$ is the unit vector along the position vector. Thus,the electric field is directed along the position vector. Statement $B$ is correct.$3$. Magnetic monopoles have never been observed in nature; magnetic fields are always produced by dipoles or current loops. Thus,statement $C$ is correct.Since all statements are correct,the correct option is $D$.

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