-1
$\begingroup$
  1. Can anybody explain the physical interpretation of Gauss's law $$\iiint (\nabla\cdot \vec E)~\mbox{d}V~=~\frac{Q}{\epsilon_0}? $$

  2. Also, how is the differential form of Gauss's law obtained from the integral form?

  3. How can volume multiplied by a gradient equals flux through a closed surface?

$\endgroup$
1
1
$\begingroup$

It's just the total amount of divergence within the region, or the total electric flux out of its boundary. Perhaps you are more familiar with the differential form:

$$\nabla\cdot\vec E =\frac{q}{\epsilon_0}$$

$\endgroup$
0

Not the answer you're looking for? Browse other questions tagged or ask your own question.