iiinova — where your digital self keeps evolving

Replies

Robert "The Bobby Yaga" McNees @mcnees.bsky.social · 13/06/2026

The equations can be expressed in a form that’s even more compact and elegant using the language of differential forms. They are simply dF = 0 d*F = J Here, F contains info about the electric and magnetic fields, while J contains info about the charge and current densities. (3/n)

3230 0

Robert "The Bobby Yaga" McNees @mcnees.bsky.social · 13/06/2026

A neat feature of Maxwell's Equations is that they imply conservation of charge. That is, electric charge can never just appear or disappear. Charge can flow into or out of a region, and the density ρ will increase or decrease, but this is always explained by a corresponding flux of current J. (4/n)

1210 0

Robert "The Bobby Yaga" McNees @mcnees.bsky.social · 13/06/2026

This is easy to show in the differential form approach, once you know that applying the differential operator d two times gives zero: d² = 0. This implies dJ = d²*F = 0. The statement dJ = 0, rephrased in terms of current and charge densities, is the accounting described in the previous post. (5/n)

1100 0