GROVER INDUCTANCE CALCULATIONS PDF

Product Details This authoritative compilation of formulas and tables simplifies the design of inductors for electrical engineers. It features a single simple formula for virtually every type of inductor, together with tables from which essential numerical factors may be interpolated. Although compiled in the s, before calculators and computers, this book provides fundamental equations that professionals and practitioners can use to produce algorithms for computer programs and spreadsheets. Starting with a survey of general principles, it explains circuits with straight filaments; parallel elements of equal length; mutual inductance of unequal parallel filaments and filaments inclined at an angle to each other; and inductance of single-layer coils on rectangular winding forms. Additional topics include the mutual inductance of coaxial circular filaments and of coaxial circular coils; self-inductance of circular coils of rectangular cross section; mutual inductance of solenoid and a coaxial circular filament and coaxial single-layer coils; single-layer coils on cylindrical winding forms; and special types of single-layer coil. An esteemed reference, this volume belongs in the library of every electrical engineer.

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Introduction In I was building a tuned loop antenna for one of my homebrew receivers, and needed to find an accurate inductance formula for a flat spiral loop of large diameter. I was unable to find anything suitable over the internet, and started digging through some old books.

However, while this book remains a standard reference to this day, it was published in when electronic calculators and computers were generally unavailable. As a result, most of the complex formulae were put into table form in order to make hand calculation easier. I wanted to use a spreadsheet to do the calculations, and so I began to research the literature to find the original formulae from which these tables were derived. Many of the underlying formulae were series expansions of elliptic integral formulae or other similarly intractable formulae.

The purpose of this webpage is to discuss some of the methods available to calculate inductance using the power of the computer to its best advantage. The emphasis here will be on numerical methods rather than the underlying physics of inductance. However, there are ample references given to the original sources. These routines may then be used either directly to calculate inductance, or to provide a very accurate set of data with which to develop simpler fitting functions some examples of which will be given.

In addition, if you track the units used in the calculations, you will note that the resulting inductance is in units of length. Many of the early papers used centimeters and microhenries in their formulae there was an implied conversion from length to inductance , and conversion factors were all rolled into one numeric constant, often something like 0. Initially, I opted to stay with the original system of units so that the referenced formulae were not altered and thus easier to trace back to their source, and also because I was concerned about introducing inadvertent errors into the formulae during conversion.

However, that decision made the work more difficult to follow, and so the pages are now in the process of revision to include SI equivalents of the original formulae. All newly added pages will be in SI units, and the existing pages will be revised and updated as time permits. Please refer to the Updates page to check the current status. Acknowledgements I would like to express my thanks to David Knight G3YNH, whose website and personal correspondence has been invaluable to this work, and to Rodger Rosenbaum for providing me access to a treasury of historical scientific papers.

Part 1 - Elliptic Integral Formulae.

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Inductance Calculations

It features a single simple formula for virtually every type of inductor, together with tables from which essential numerical factors may be interpolated. Although compiled in the s, before calculators and computers, this book provides fundamental equations that professionals and practitioners can use to produce algorithms for computer programs and spreadsheets. Starting with a survey of general principles, it explains circuits with straight filaments; parallel elements of equal length; mutual inductance of unequal parallel filaments and filaments inclined at an angle to each other; and inductance of single-layer coils on rectangular winding forms. Additional topics include the mutual inductance of coaxial circular filaments and of coaxial circular coils; self-inductance of circular coils of rectangular cross section; mutual inductance of solenoid and a coaxial circular filament and coaxial single-layer coils; single-layer coils on cylindrical winding forms; and special types of single-layer coil. An esteemed reference, this volume belongs in the library of every electrical engineer.

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