Magnetic Field of a Symmetrical Bundle of Parallel Wires Carrying Equal Currents

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Abstract
The radial and circumferential components of the magnetic field outside and inside a bundle of parallel current filaments equally spaced on an infinitely long cylinder are derived in convergent series form. The assumption usually made that the mean circumferential component is a sufficiently good approximation to the actual field at radii of interest is justified by calculation at 12 mm radius from the axis of a bundle containing 36 wires, 6 at 3 mm radius, 12 at 6 mm, 18 at 9 mm. The maximum deviation of the circumferential field from its mean value is here found to be less than one-half percent. A quickly applied primary winding of 36 turns for ring specimens is described. It consists of a central bundle, flat end connecting blocks and external cage. The region of good circular field lies between radii of 12 mm and 60 mm, and is 70 cm in axial length.

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