Question

Axis of a solid cylinder of infinite length and radius lies along y-axis it carries a uniformly distribution current i along +y direction Magnetic field at a

Answer 1

$B=\frac{{\mu }_{0}jr}{2}=\frac{{\mu }_{0}i}{2\pi R^2}\times \frac{R}{2}=\frac{{\mu }_{0}i}{2\sqrt{2}\pi R}$

$\hat{B}=\frac{\overrightarrow{i}-\overrightarrow{k}}{\sqrt{2}}$

$\hat{B}=B\hat{B}=\frac{{\mu }_{0}i}{4\pi r}(\hat{i}-\hat{k})$