The field of a magnetic dipole in the presence of a conducting sphere

Formulas are derived for the components of the distorted field of a magnetic dipole in the presence of a conducting sphere in a homogeneous medium. In the method employed the field is resolved into two partial fields for the first of which the radial component of the magnetic vector vanishes and for the second of which the radial component of the electric vector vanishes. From the general formulas approximate formulas are derived for the field components in the special case in which the conductivity of the medium is low, the radius of the sphere is not too large and both the dipole and the observer are in the vicinity of the sphere. These approximate formulas are within limits applicable to the problem of locating a spherical body of ore buried in a mass of rock.