Homework Statement
Find the chemical potential for an ideal gas as a function of temperature and pressure. Use the "Gibbs-Duhen relation".
Homework Equations
\mu=\frac{\partial U}{\partial N}
dU=TdS-pdV+\sum\limits_{i}\mu_{i}dN_{i}
U=Q+W
Gibbs-Duhen relation...
Yes that is absolutely correct.
and that is why the book chose that direction.
However, I also was pointing out that if you chose to use q<0 which would be the actual electrons then the velocity vector will be the other direction. (because the electrons will be moving in the opposite direction...
Here's the thing. This is somewhat of a bad question because its wording includes electromagnetism concepts, but really it is just a geometry question.
So to be honest, if I just looked at this as a geometry problem I would have given the same answer you had in mind originally, that it is...
Should that matter? Nothing I said really requires current to be a vector anyway.
If it makes you feel better you can think of the quantity \vec{J} which is the current density, and that is a vector.
Anyway, my whole argument was based on the direction the "positive" charges of the conventional...
Pretty much.
If you think about it, the only relevant thing here is the moving charges. This is because of the lorentz force law:
\vec{F} = q\left( \vec{E}+\vec{v}\times\vec{B}\right)
So what matters here is going to be the \vec{v}\times\vec{B} and \vec{v} is determined by the direction of the...
This is where you went wrong. Read what you just wrote again. If you were correct then that would be your final answer for both current elements, there is no need to add \Theta again, because you are looking for the angles that each of the two current elements makes with B, which is what you...