divergence and curl of vector field

DIVERGENCE OF A VECTOR FIELD

The divergence of a vector at a given point in a vector field is a scalar and is defined as the amount  of flux diverging from a  unit  volume element per  second around that point.

The divergence of a vector at a point may be positive if field lines are diverging or coming out from a small volume surrounding the point.

On the other hand, if field lines are converging into a small volume surrounding the point, the divergence of a vector is negative. If the rate at  which field lines are entering  into a small volume  surrounding the  point is  equal to the rate at which these are leaving  that small volume, then the divergence of a vector is zero.

that is, div A = 0.

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