- #1
emroz92
- 12
- 1
Exploiting quasistatic approximation, if one wishes to calculate self-inductance of any loop, he is led to the following double line integral:
[itex]\oint\oint\frac{d\vec{l_{1}}\cdot d\vec{l_{2}}}{r}[/itex],
where [itex]r[/itex] is the distance between the length elements [itex]\vec{dl_{1}}[/itex] and [itex]\vec{dl_{2}}[/itex].
Is this integral always positive? If so, what would be the mathematical treatment associated to prove its positivity?
[itex]\oint\oint\frac{d\vec{l_{1}}\cdot d\vec{l_{2}}}{r}[/itex],
where [itex]r[/itex] is the distance between the length elements [itex]\vec{dl_{1}}[/itex] and [itex]\vec{dl_{2}}[/itex].
Is this integral always positive? If so, what would be the mathematical treatment associated to prove its positivity?