The magnetic field around a current-carrying wire is to the current and to the distance from the wire. if the current triples while the distance doubles, the strength of the magnetic field increases by .

Thus, The magnetic field around a current-carrying wire is directly  proportional to the current and inversely  proportional to the distance from the wire.  If the current triples while the distance doubles, the strength of the magnetic field increases by one and half (1.5) times.

Explanation:

Magnetic field around a long current carrying wire is given by

where B= magnetic field

            permeability of free space

           I= current in the long wire and

           r= distance from the current carrying wire

Thus, The magnetic field around a current-carrying wire is directly  proportional to the current and inversely  proportional to the distance from the wire.  

Now if I'=3I and r'=2r then magnetic field B' is given by

Thus If the current triples while the distance doubles, the strength of the magnetic field increases by one and half (1.5) times.

The magnetic field around a current-carrying wire is directly proportional to the current and inversely proportional to the distance from the wire. If the current triples while the distance doubles, the strength of the magnetic field increases by one and half times.

It is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

When current is passed through a straight current-carrying conductor, a magnetic field is produced around it. The field lines are in the form of concentric circles at every point of the current-carrying conductor.

Learn more about magnetic field:

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