How is the value of the magnetic to electrical boarding ratio related with the volume of iron and volume of copper?

The value of the magnetic to electrical loading ratio is not a straightforward concept that can be applied uniformly across different electrical and magnetic systems. However, to understand the relationship mentioned in your question, we need to first clarify what is generally meant by “magnetic loading” and “electrical loading” in the context of electrical machines, and then how these concepts might relate to the volume of iron and copper.

1. Magnetic Loading: This refers to the flux density in the core material (usually iron in transformers and electrical machines). It is a measure of the magnetic field intensity in the core. High magnetic loading means that the core is efficiently utilized, but it also means that the core might approach saturation, beyond which it becomes inefficient and loses its ability to further increase magnetic flux.

2. Electrical Loading: This represents the current density in the conductors (usually copper in coils and windings). High electrical loading indicates more current per unit cross-sectional area of the conductor. While this might imply better utilization of material, it leads to higher losses due to the Joule effect (I^2R losses).

The relationship between these loadings and the volumes of iron and copper can be complex because they are influenced by design specifics, the operating regime of the device, and the physical and electrical properties of the materials.

The volume of iron (core volume) in a device is directly related to its ability to handle magnetic loading. A larger core can potentially support a higher magnetic flux, translating