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Physics
The magnetic field at the origin due to a current element id1 placed at a point with vector position r is
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Q. The magnetic field at the origin due to a current element $\overrightarrow{id1}$ placed at a point with vector position $\overrightarrow{r}$ is
KCET
KCET 2020
Moving Charges and Magnetism
A
$\frac{\mu_{0}i}{4\pi} \frac{\overrightarrow{d1} \times \overrightarrow{r}}{r^{3}}$
59%
B
$\frac{\mu_{0}i}{4\pi} \frac{\overrightarrow{r} \times \overrightarrow{d1}}{r^{3}}$
16%
C
$\frac{\mu_{0}i}{4\pi} \frac{\overrightarrow{d1} \times \overrightarrow{r}}{r^{2}}$
16%
D
$\frac{\mu_{0}i}{4\pi} \frac{\overrightarrow{r} \times \overrightarrow{d1}}{r^{2}}$
8%
Solution:
$\frac{\mu_{0} i}{4 \pi} \frac{\overrightarrow{d l} \times \vec{r}}{r^{3}}$