show that the equation of continuty is contained in maxewell equation
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The Continuity Equation. If we do some simple mathematical tricks to Maxwell's Equations, we can derive some new equations. ... Hence, the continuity equation is about continuity - if there is a net electric current is flowing out of a region, then the charge in that region must be decreasing
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A continuity equation is the mathematical way to express this kind of statement. For example, the continuity equation for electric charge states that the amount of electric charge in any volume of space can only change by the amount of electric current flowing into or out of that volume through its boundaries.
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