A 37.9 A current flows in a long, straight wire. Find the strength of the resulting magnetic field at a distance of 45.5 cm from
the wire.

Explanation:

The magnitude of the magnetic field produced by a current-carrying wire is given by the equation:

where:

is the vaacuum permeability

I is the current in the wire

r is the distance from the wire

The direction of the magnetic field lines is tangential to concentric circles around the wire.

In this problem, we have:

is the current in the wire

is the distance  from the wire

Solving for B, we find the magnitude of the magnetic field:

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the area between the graph and the t axis