Question

State biot-savart law in vector from along with expression.

Answer 1

For any general shape of the wire, magnetic field due to current carrying

wire is given by Biot Savart Law:

$\overrightarrow{B}\left(P\right)=\frac{{\mu }_{0}I}{4\pi }\int \frac{{\overrightarrow{d}}_l\times \overrightarrow{r}}{r^3}$

where is a vector tangent to the current wire equal to dy

$\hat{j}$

for a straight wire along y-axis.