- #1
Juan Pablo
- 40
- 0
I've seen on most books and in class that Gauss's law is usually stated like
[tex]\oint \vec{E} \cdot d\vec{A} = \frac{q_{en}}{\epsilon_0}[/tex]
Shouldn't the integral be a surface integral rather than a line integral? I've seen times in problem resolution where they evaluate the integral as a normal integral rather than a surface one, is there a formal justification for this?
I have another kinda unrelated question. When you choose a Gaussian surface to calculate an electric field, is it chosen arbitrarily? I mean every surface with the desirable properties will do?
Thanks!
[tex]\oint \vec{E} \cdot d\vec{A} = \frac{q_{en}}{\epsilon_0}[/tex]
Shouldn't the integral be a surface integral rather than a line integral? I've seen times in problem resolution where they evaluate the integral as a normal integral rather than a surface one, is there a formal justification for this?
I have another kinda unrelated question. When you choose a Gaussian surface to calculate an electric field, is it chosen arbitrarily? I mean every surface with the desirable properties will do?
Thanks!