Abstract
A calculation of the electric field in an inductively driven multipole is presented. The gap, which destroys the azimuthal symmetry, is explicitly taken into account. The motion of the flux lines as they come in the gap and spread around the machine is determined. Most of the results are derived for a simplified, linear model of a multipole, which is taken to be periodic to better represent a toroid. The plasma is taken to be a dielectric with a slowly varying dielectric constant which is calculated from the second‐order drifts for electric and magnetic fields which are both time varying. The electric field is taken to have a sinusoidal variation of the same frequency as the magnetic field pulse plus an additional variation because of the time‐changing dielectric properties. The resulting picture is in good agreement with experimental measurements on both of the Wisconsin octupoles.
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