A. C. SOLENOID OF FINITE LENGTH IN A CONDUCTING MEDIUM WITH HALL CONDUCTIVITY,

reportActive / Technical Report | Accession Number: AD0609462 | Need Help?

Abstract:

The electric field due to an alternating current carrying solenoid was investigated by the field approach. The solenoid was assumed to be in an infinite, uniform, conducting medium, which may exhibit the Hall effect caused by a constant, axial, external magnetic field. Both the infinite and finite coil problems were studied. Explicit solutions to the infinite coil were found while the finite coil solutions were obtained in integral form. From the latter, the coil impedance and the voltage induced in a particular wire loop were calculated numerically for different scalar and Hall conductivities at different lengthto-diameter ratios. Some experimental evidence for the calculated values of the impedance without the Hall effect also was found. Author

Author(s):
Selamoglu, Suha ; Maeder, Paul F.
Author Organization(s):
BROWN UNIV PROVIDENCE R I
Descriptive Note:
Technical rept.,
Annotation:
A. C. Solenoid of finite length in a conducting medium with hall conductivity.
Pagination:
0085

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-WT-40, AFOSR-64 2028
Contract/Grant Number(s):
AF49 638 1295
Monitor Series:
64 2028
 Subject Terms
Communities of Interest:
Advanced Electronics
Descriptor(s):
(*PLASMA MEDIUM, ELECTRICAL CONDUCTIVITY), (*SOLENOIDS, PLASMAS(PHYSICS)), ELECTRIC FIELDS, MAGNETIC FIELDS, HALL EFFECT, ELECTRICAL IMPEDANCE, COILS, VOLTAGE, CONDUCTIVITY, BOUNDARY LAYER, CALIBRATION, DIFFERENTIAL EQUATIONS, BESSEL FUNCTIONS, INTEGRAL TRANSFORMS, SPECIAL FUNCTIONS (MATHEMATICAL), SHOCK TUBES, BOUNDARY VALUE PROBLEMS, VECTOR ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL ANALYSIS
Report Date:
1964 Jun 01