Dimensional analysis via an electromagnetically-oriented set of fundamental dimensions

الملخص EN

This paper describes the electromagnetically-oriented LTIØ dimensional basis that is based on the reference dimensions of Length (L), Time (T), Electric Current (/), and Electric Potential (Ø).

We utilize this basis in the matrix solution of dimensional-analysis (DA) problems involving mainly electromagnetic quantities.

Representations of electromagnetic quantities in the LTI Ø basis (compared with the standard MLTI basis that uses Mass (M) instead of Potential (Ø) are more informative, much simpler, and have salient duality features.

Moreover, DA computations of electromagnetic problems via the Gauss-Jordan algorithm in the LTI Ø basis are more efficient, much less error prone, and quicker to detect linear dependencies in the dimensional equations.

Both details and advantages of the proposed method are explored via demonstrative examples, which are of obvious significance in the learning and teaching of electromagnetism.