Step 1:
We know that the magnetic field around a long straight wire carrying current is given by Ampere's law as:
\[B = \frac{{\mu_0 \cdot I}}{{2\pi \cdot a}}\]
where:
- \(B\) is the magnetic field strength,
- \(\mu_0\) is the permeability of free space,
- \(I\) is
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