Electrical and Computer Engineering ETDs


Sang S. Pak

Publication Date



This thesis describes a study undertaken to maximize the Hall generator efficiency. A mathematical solution is obtained for a multi-terminal Hall generator, and an analytical technique is developed for determining the optimum values of parameters to maximize the generator efficiency. An equivalent circuit is developed for an N output-terminal Hall generator, and the efficiency expression is obtained as a function of sample dimension, conductivity and Hall coefficient of the material, and magnetic field strength. Some of the results have been checked experimentally with indium antimonide and fields up to 21.5 kilogauss. An efficiency of 40% was obtained experimentally for a nineteen output-terminal Hall generator; whereas, for a one output-terminal efficiency was only 8%. In order to maximize the efficiency, it was found that the mobility, mobility ratio, magnetic field strength, and the number of output-terminal pairs must all be maximized and the impurity concentration must be minimized. It was also found that: 1) the optimum load varies proportionally to the half power of N, the number of output pairs; 2) the optimum temperature is a function of magnetic field and sample dimensions.

Document Type




Degree Name

Electrical Engineering

Level of Degree


Department Name

Electrical and Computer Engineering

First Committee Member (Chair)

Wayne Willis Grannemann

Second Committee Member

Harold Dean Southward

Third Committee Member

Richard H. Williams