Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-09T23:42:48.390Z Has data issue: false hasContentIssue false
This chapter is part of a book that is no longer available to purchase from Cambridge Core

7 - Axial field configurations

Get access

Summary

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2016

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Smythe, W., Static and Dynamic Electricity, 2nd ed., McGraw-Hill, 1950, p. 270275.Google Scholar
Stratton, J., Electromagnetic Theory, McGraw-Hill, 1941, p. 263.Google Scholar
Good, R., Elliptic integrals, the forgotten functions, Eur. J. Phys. 22:119, 2001.CrossRefGoogle Scholar
Panofsky, W. & Phillips, M., Classical Electricity and Magnetism, 2nd ed., Addison-Wesley, 1962, p. 156.Google Scholar
Schill, R., General relation for the vector magnetic field of a circular current loop: a closer look, IEEE Trans. Magnetics 39:961, 2003.CrossRefGoogle Scholar
Jackson, J. D., Classical Electrodynamics, Wiley, 1962, p. 142.Google Scholar
Redzic, D., The magnetic field of a static current loop: a new derivation, Eur. J. Phys. 27:N9, 2006.CrossRefGoogle Scholar
Harnwell, G., Principles of Electricity and Magnetism, 2nd ed., McGraw-Hill, 1949, p. 329.Google Scholar
Jackson, R., Off-axis expansion solution of Laplace’s equation: application to accurate and rapid calculation of coil magnetic fields, IEEE Trans. Electron Devices 46:1050, 1999.CrossRefGoogle Scholar
Garrett, M., Axially symmetric systems for generating and measuring magnetic fields, J. Appl. Phys. 22:1091, 1951.CrossRefGoogle Scholar
Gluck, F., Axisymmetric magnetic field calculation with zonal harmonic expansion, Progress in Electromagnetics Research B 32:351, 2011.CrossRefGoogle Scholar
Arfken, G., Mathematical Methods for Physicists, 3rd ed., Academic Press, 1985, equation 12.25.Google Scholar
Ibid., equation 12.24.Google Scholar
Eyges, L., The Classical Electromagnetic Field, Dover, 1980, p. 140.Google Scholar
Wang, J., She, S. & Zhang, S., An improved Helmholtz coil and analysis of its magnetic field homogeneity, Rev. Sci. Inst. 73:2175, 2002.CrossRefGoogle Scholar
Higbie, J., Off-axis Helmholtz field, Am. J. Phys. 46:1075, 1978.CrossRefGoogle Scholar
Purcell, E., Helmholtz coils revisited, Am. J. Phys. 57:18, 1989.CrossRefGoogle Scholar
Murgatroyd, P., Optimum designs of circular coil systems for generating non-uniform axial magnetic fields, Rev. Sci. Inst. 50:668, 1979.CrossRefGoogle Scholar
Murgatroyd, P. & Bernard, B., Inverse Helmholtz pairs, Rev. Sci. Inst. 54:1736, 1983.CrossRefGoogle Scholar
Merritt, R., Purcell, C. & Stroink, G., Uniform magnetic field produced by three, four and five square coils, Rev. Sci. Inst. 54:879, 1983.CrossRefGoogle Scholar
Garrett, M., Thick cylindrical coil systems for strong magnetic fields with field or gradient homogeneities of the 6th to 20th order, J. Appl. Phys. 38:2563, 1967.CrossRefGoogle Scholar
Garrett, M., Calculation of fields, forces and mutual inductances of current systems by elliptic integrals, J. Appl. Phys. 34:2567, 1963.CrossRefGoogle Scholar
Derby, N. & Olbert, S., Cylindrical magnets and ideal solenoids, Am. J. Phys. 78:229, 2010.CrossRefGoogle Scholar
Cohen, L., An exact formula for the mutual inductance of coaxial solenoids, Bulletin Bureau Standards 3:295, 1907.CrossRefGoogle Scholar
Conway, J., Exact solutions for the magnetic fields of axisymmetric solenoids and current distributions, IEEE Trans. Mag. 37:2977, 2001.CrossRefGoogle Scholar
Conway, J., Trigonometric integrals for the magnetic field of a coil of rectangular cross section, IEEE Trans. Mag. 42:1538, 2006.CrossRefGoogle Scholar
Tominaka, T., Magnetic field calculation of an infinitely long solenoid, Eur. J. Phys. 27:1399, 2006.CrossRefGoogle Scholar
Labinac, V., Erceg, N. & Kotnik-Karuza, D., Magnetic field of a cylindrical coil, Am. J. Phys. 74:621, 2006.CrossRefGoogle Scholar
Panofsky, W. & Phillips, M., op. cit., p. 473476.Google Scholar
Lee, S. Y., Accelerator Physics, World Scientific, 1999, p. 3334.CrossRefGoogle Scholar
Wang, C. & Teng, L., Magnetic field expansion for particle tracking in a bent solenoid channel, Proc. 2001 Particle Accelerator Conference, p. 456. Available from www.jacow.org.Google Scholar
Mane, S., Solutions of Laplace’s equation in two dimensions with a curved longitudinal axis, Nuc. Instr. Meth. A 321:365, 1992.CrossRefGoogle Scholar
Carron, N., On the fields of a torus and the role of the vector potential, Am. J. Phys. 63:717, 1995.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×