1. The problem statement, all variables and given/known data I am currently studying for a quiz and then following a test in my Electrodynamics test. Right now I am struggling to define the following: Continuity equation and its physical meaning 2. Relevant equations The Continuity Equation is given as the following: ∇J=-∂ρ/∂t 3. The attempt at a solution There is no solution, I just know that it is the mathematical statement of a local charge conservation (defined by Griffiths). So what is the physical meaning? Can someone help me wrap my head around this concept?