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Inductance Calculation Techniques --- Part II ...

THOMPSON: Inductance Calculation Techniques --- Part II: Approximations and Handbook Methods Power Control and Intelligent Motion, December 1999, website Marc T. Thompson, 1999 file: 4/26/01 12:16 PM Page 1 of 11 Inductance Calculation Techniques --- Part II: Approximations and Handbook Methods Marc T. Thompson, INDEX OF SYMBOLS A Area enclosed by coil a Coil mean radius b Coil axial thickness c Coil radial thickness D Side length of square coil d Wire-to-wire spacing K Nagoaka coil constant l Coil length p Perimeter enclosed by coil P, F Grover disk coil constants R Circular wire radius s Side length of generic polygon w Trace width x, y Mean side lengths of rectangular coil o Magnetic permeability of free space 4 10-7 H/m I. INTRODUCTION In the second part of this two part series on Inductance Calculation Techniques , approximation Techniques and handbook methods are shown for air-core structures that do not easily lend themselves to closed-form solutions.

The self-inductance of a straight conductor of length l and radius R, neglecting the effects of nearby conductors (i.e. assuming that the return current is far away) is given by [2, pp. 35]: − ≈ 4 2 3 ln 2 R l l L o π µ [1] Many other magnetic structures can …

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