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.

Let us consider an infinitely long straight wire carrying a steady current II. We want to find the magnetic field at a point PP, which lies at a perpendicular distance rr from the wire. To calculate this, we use the Biot-Savart law.

The Biot-Savart law states that the differential magnetic field dB⃗d\vec{B} at a point due to a small current _____ ___ _____ ___ __________ _______ ________ __________ ____ _____ ___.
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