In theories with emergent low-energy degrees of freedom, one can sometimes construct effective variables whose equations resemble Maxwell’s equations. I am trying to understand what must actually be established before it is justified to say that the effective theory reproduces classical electromagnetism, rather than merely exhibiting Maxwell-like equations. Suppose effective fields can be identif…
Rethinking the electric field Have you ever wondered what an electric field actually is? The electric field is the foundation of most technologies that we rely on every day. From power grids and electronic devices to radio communication and the … Continue reading →
I'm grappling with understanding Gauss' Law as applied to charged sheets and oppositely charged plates. From what I've gathered, when using a Gaussian pillbox encompassing both sides of an infinite sheet, we can derive the electric field to be $2EA=\frac{\sigma A}{\epsilon_0}$ , which simplifies to $E=\frac{\sigma}{2\epsilon_0}$ . Now, if I consider two oppositely charged plates, I understand th…
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