Question

A current of 10 A is established in a long wire along the positive z-axis. Find the magnetic field $\overrightarrow{B}$ at the point (1 m, 0, 0).

Answer 1

Given:
Magnitude of current, I = 10 A
Separation of the point from the wire, d = 1 m



The magnetic field $\overrightarrow{B}$ at point (1 m, 0, 0) is given by
$$\begin{gathered} B=\frac{{\mathrm{\mu }}_{0}i}{2\mathrm{\pi }d}=\frac{4\mathrm{\pi }\times {10}^{-7}\times 10}{2\mathrm{\pi }\times 1} \\ \Rightarrow B=2\times {10}^{-6}\mathrm{T} \end{gathered}$$
(Along the +ve y-axis by the right-hand thumb rule)