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Diffstat (limited to 'mindmap/continuity equation.org')
| -rw-r--r-- | mindmap/continuity equation.org | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/mindmap/continuity equation.org b/mindmap/continuity equation.org index 579e09a..c12ffa1 100644 --- a/mindmap/continuity equation.org +++ b/mindmap/continuity equation.org @@ -15,7 +15,7 @@ $Q_{enc} = \int_{V} \rho(r')d\tau$ or $Q_{enc}$ is the total amount of particles \begin{align*} \oint_{S} \vec{J} \cdot d\vec{a} = -\frac{\partial Q_{enc}}{\partial t}, \end{align*} -or in other words, the amount that the current goes through some closed surface must be proportional to the loss of particles +or in other words, the current flowing through some closed surface must be proportional to the loss of particles inside of the enclosure. This is of course because of conservation of mass (which is in and of itself conservation of energy). Using the [[id:44e65b69-e5d5-464a-b1f3-8a914e1b7e9e][divergence theorem]]: \begin{align*} |