A) \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }i\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{r} \right)\]
B) \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }{{i}^{2}}\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{r} \right)\]
C) \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }{{i}^{2}}\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{{{r}^{2}}} \right)\]
D) \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }i\,\left( \frac{d\overrightarrow{l\,}\times \overrightarrow{r\,}}{{{r}^{3}}} \right)\]
Correct Answer: D
Solution :
\[dB=\frac{{{\mu }_{0}}}{4\pi }\cdot \frac{idl\sin \theta }{{{r}^{2}}}\] Þ \[d\overrightarrow{B}=\frac{{{\mu }_{0}}}{4\pi }\cdot \frac{i\,(d\overrightarrow{l\,}\times \overrightarrow{r\,})}{{{r}^{3}}}\]
You need to login to perform this action.
You will be redirected in
3 sec
