A current is flowing in an infinitely long straight wire. Using Biot-Savart law, show that the resultant magnetic field at a point along a line perpendicular to the wire is inversely proportional to the distance of the point from the wire.

To find the magnetic field at a point due to a current-carrying wire using the Biot-Savart law, we consider an infinitely long straight wire carrying a steady current \( I \). The Biot-Savart law states that the differential magnetic field \( \mathbf{dB} \) at a point due to a small current element \( I \, \mathbf{dl} \) is given by:

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