A) \[dB=\frac{{{\mu }_{0}}}{4\pi }i\left( \frac{dl\times \vec{r}}{r} \right)\]
B) \[dB=\frac{{{\mu }_{0}}}{4\pi }{{i}^{2}}\left( \frac{dl\times \vec{r}}{{{r}^{2}}} \right)\]
C) \[dB=\frac{{{\mu }_{0}}}{4\pi }{{i}^{2}}\left( \frac{dl\times \vec{r}}{r} \right)\]
D) \[dB=\frac{{{\mu }_{0}}}{4\pi }i\left( \frac{dl\times \vec{r}}{{{r}^{3}}} \right)\]
Correct Answer: D
Solution :
We know that according to Biot-Savert law, \[dB\propto i\left( \frac{dl\times \vec{r}}{{{r}^{3}}} \right)=\frac{{{\mu }_{0}}}{4\pi }i\left( \frac{dl\times \vec{r}}{{{r}^{3}}} \right).\]
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