Weak magnetic fields can be measured at the surface of the brain. although the currents causing these fields are quite complicated, we can estimate their size by modeling them as a current loop around the equator of a 16-cm-diameter (the width of a typical head) sphere. what current is needed to produce a 3.0 pt field—the strength measured for one subject—at the pole of this sphere?

To develop this problem it is necessary to apply the concepts related to a magnetic field in spheres.

By definition we know that the magnetic field in a sphere can be described as

Where,

a = Radius

z = Distance to the magnetic field

I = Current

Permeability constant in free space

Our values are given as

diameter of the sphere then,

Thus z = a

Re-arrange to find I,

Therefore the current at the pole of this sphere is

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