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Abstract #3101

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. The inclusion of "turns" as a unit in the dimensional matrix produces the result uniquely, greatly simplifying the analysis.

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