what is equation of continuity

Question

what is equation of continuity

Answer 1

In the context of flow of electrical charge,

 

ρ = charge density

v = drift velocity of the charge (a vector)

 

The continuity equation is

 

∇·(ρv) + ∂ρ/∂t = 0,

 

where ∇· is the vector divergence operator.

 

This is just a mathematical statement of a law of conservation of total charge, when there are no sources or sinks of charge.

Answer 2

some functions are continuous, e.g. f(x) = 2x_1 or f(x) = sin x or f(x) = 5x²

 

other functions are not continuous, e.g. f(x = 7/(x-1)

 

but the phrase you used EQUATION OF CONTINUITY has no intrinsic meaning.