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Question

Physics Question on Magnetic Field

The magnetic field at the origin due to a current element idl\overrightarrow{idl} placed at a point with vector position r\overrightarrow{r} is

A

μ0i4πdl×rr3\frac{\mu_0 i}{4\pi} \frac{\vec{dl} \times \vec{r}} {{r^3}}

B

μ0i4πr×dlr3\frac{\mu_0 i}{4\pi}\frac{\vec{r} \times \vec{dl}}{r^3}

C

μ0i4πdl×rr2\frac{\mu_0 i}{4\pi} \frac{\vec{dl} \times \vec{r}} {{r^2}}

D

μ0i4πr×dlr2\frac{\mu_0 i}{4\pi}\frac{\vec{r} \times \vec{dl}}{r^2}

Answer

μ0i4πdl×rr3\frac{\mu_0 i}{4\pi} \frac{\vec{dl} \times \vec{r}} {{r^3}}

Explanation

Solution

The correct option is (A):μ0i4πdl×rr3\frac{\mu_0 i}{4\pi} \frac{\vec{dl} \times \vec{r}} {{r^3}}