Vincf's latest activity

Solving the parallel-plate capacitor problem as a boundary value problem is actually very complicated. Take a look at the article I...

The parallel-plate capacitor is almost never treated as a boundary value problem. Aside from the rather limited conformal...

The supposedly applicable conditions (see the quote from Walter Lewin) are that the height must be small compared to the distance from...

The capcitor problem is different because we have two charged planes with opposite charges. The horizontal components cancel each other...

By "error" I just meant that by using the model, we could predict the horizontal field to be zero, whereas in reality, it's of the same...

When I was a student, I remember endless discussions about the difference between quasistatic and reversible processes. Different...

I think you have a misconception about Joule-Kelvin expansion, which is sometimes distorted by the diagrams used. It's not a small...

Yes, I agree with you, a limit process can be problematic. But in physics, we use these kinds of infinite limits to approximate...

Hello, I share your conclusion: There is a mathematical convergence problem for the horizontal component of the field. This is somewhat...

For the usual infinite plane, we cannot impose the usual boundary conditions. The field does not tend towards 0 at infinity, and the...

Hello, The sum you're showing is a Riemann sum. The Riemann sum is $$\sum_{n=0}^\infty f(x_{n})(x_{n+1}- x_{n}) $$ with the function...

I don't believe it's necessary to introduce an external field. This is the field created by the distribution itself. We can look at the...

We agree: there are infinitely many solutions for the horizontal component of the field. But then, why talk about "the" uniformly...

Hello, I wrote another question to clarify things. Have you seen this other question...

It is indeed a uniform charge distribution with a constant charge density σ. However, its boundary is elliptical instead of rectangular...