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Physics
The correct Biot-Savart law in vector form is
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Q. The correct Biot-Savart law in vector form is
KCET
KCET 2018
Moving Charges and Magnetism
A
$d \vec{B} = \frac{\mu_{0}}{4 \pi} \frac{I\left(d \vec{l} \times \vec{r} \right)}{r^{2}} $
13%
B
$d \, \vec{B} = \frac{\mu_{0}}{4 \pi} \frac{I\left(d \vec{l} \times \vec{r} \right)}{r^{3}}$
72%
C
$d \, \vec{B} = \frac{\mu_{0}}{4 \pi} \frac{I d \vec{l} }{r^{2}} $
10%
D
$d \, \vec{B} = \frac{\mu_{0}}{4 \pi} \frac{I d \vec{l} }{r^{3}} $
5%
Solution:
Biot-Savart law in vector form is
$\overrightarrow{dB} = \frac{\mu_{0}}{4\pi} \frac{I \overrightarrow{dl} \times\vec{r}}{r^{3}} $