The discussion centers on understanding the relationship between electric potential difference (ΔV) and electric field (E) in the context of surface charge density. The key equation ΔV = -∫E dl is highlighted, with a specific focus on expressing E in terms of the electric displacement field (D). Participants emphasize the application of Gauss' law for D to derive an explicit expression for D based on the free charge Q on the inner conductor, clarifying the derivation process for the potential difference.
PREREQUISITESStudents and professionals in physics, electrical engineering, and anyone studying electrostatics or electric fields and potentials.
Yes, you can think of their expression as coming from ΔV=-∫E dl if you express E in terms of D. Use Gauss' law for D to obtain an explicit expression for D in terms of the free charge Q on the inner conductor.Cocoleia said: