An approximate formula is derived for the magnetic field caused by an axially symmetric body of plasma imbedded in a dipole magnetic field without first choosing a particular functional form for the plasma density. Consequently one can easily discuss any particular case without recourse to a computer. The method used avoids the usual fine net required by the singularity in the integrand. This is achieved by constructing a new quadrature formula which treats this singularity exactly; the then permitted coarse net makes possible an algebraic treatment rather than a numerical one.
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