Systematic, Linear Algebra-based Dimensional Analysis of Gradient Inductance Scaling with Coil Radius
Matt A Bernstein1 and Seung-Kyun Lee2
1Radiology, Mayo Clinic, Rochester, MN, United States, 2Biomedical Engineering, Sungkyunkwan University, Suwon, Korea, Republic of
Applying systematic dimensional analysis, based linear
algebraic methods, we derive the important scaling relation for MR gradient
design: gradient coil inductance L scales as the square gradient efficiency (measured
in T/m/A) and the fifth power of radius a.