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The magnetocardiogram results from the detection of magnetic fields generated outside the body by electric current sources in the heart. Let the source current dipole moment per unit volume be J i, the conductivity g, the electric potential V, and the electric field intensity E. Then it may be shown that the magnetic field H is given by either H = (1/4) J^i (1/r) dv + ₈ (g' - g") (E dS₈/r), or H = (1/4) J^i (1/r) dv + ₈ (g' - g") V (1/r) dS₈, where the surface integral is over all surfaces S i separating regions of different conductivity, i. e. , g ' and g ", and r is the distance from the point of measurement to the element of volume or surface. The magnetic dipole moment m is given by m = 12 r₁ J^idv - 12 ₈ (g'-g") Vr₁ dS₈, where r 1 is a radius vector from an arbitrary origin.
Daniel A. Geselowitz (1970) studied this question.