Recent content by chaos333

A bit messy but the bottom is supposed to be the potential function

In textbooks, are words such as 'metallic', 'metal', etc indicating to the person doing the problem that the material in question is a conductor? This one problem said 'metallic' and the answers were as if it were a conductor with the electric field between 2 concentric hollow spheres being 0...

Sorry for getting to you late, but I got it, thanks for your help!

0, that makes sense... When I go to solve for it though I just get a nasty polynomial, should I brute force it or is there another approach?

Yeah my bad, so I differentiate this and set it to 0? Pretend 'a' is a variable, maybe x, then I differentiate it like a variable right?

Does this seem like the correct expression for F using superposition?

The method it refers to is that in 3.10 you were supposed to set q'+q''=0, where q' and q'' lie inside the conductor and represent the charge of the conductor, so for this problem you essentially do q'+q''=q where q'' lies on the origin of the sphere, q' lies a distance 'a' (inside the sphere...

On Problem 3.11 for Griffiths' Electrodynamics, there is a question that asks for the critical value between a point charge and a conducting shell, but I don't quite know what they mean by 'critical value' in this context and how I'm supposed to approach this question, the rest of the problem is...

This makes a lot of sense now, thanks.

I understand the answer involves the law of cosine formula, but how was that derived from the vector?

This comes from Griffiths' Electrodynamics and is problem 2.51 or 2.52, the disk has a surface charge density and my usual approach to solving these problems is to pick an area element and find a way to create a vector to the point(s) at which the potential is evaluated at. I sent a picture of...