All Questions
4 questions
5
votes
3
answers
407
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Vector addition for differentials in the context of electric potential
Recently, my professor drew the following diagrams to explain $\vec{ds}$ (in the context of electric potential, where $$V=-\int\vec{E}\cdot\vec{ds}$$
He showed us the following diagrams and ...
- 187
0
votes
1
answer
85
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Vector calculus of a potential energy formula under Galileo transformation
I'm currently studying MIT OCW 8.20 Introduction to Special Relativity. In pset 1, the following question is being asked: Suppose you have a potential of the form U($\vec{r_1}, \vec{r_2}$) = U(|$\vec{...
- 13
1
vote
3
answers
324
views
Derivative with respect to vector of a function depending on vectors
I've been trying to understand this concept for hours without any success. I found similar questions on this forum (Derivative with respect to a vector is a gradient?) but I still don't understand.
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- 180
0
votes
1
answer
259
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Confusion in adding constant to magnetic vector potential
The $x$-component of $B$ is:
$B_x=\dfrac{\partial {A_z}}{\partial y}-\dfrac{\partial {A_y}}{\partial z}
=\dfrac{\partial {(A_z+C_1)}}{\partial y}-\dfrac{\partial {(A_y+C_2)}}{\partial z}$
where $...
- 137