Question

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

\[B = \frac{\mu_0 i}{2\pi d} = \frac{4\pi \times {10}^{- 7} \times 10}{2\pi \times 1}\]
\[ \Rightarrow B = 2 \times {10}^{- 6} T\]

(Along the +ve y-axis by the right-hand thumb rule)