divergence and curl of vector field

DIVERGENCE OF A VECTOR FIELD

In the previous article, we have discussed del operator and gradient. Today, we will discuss another two operations of del known as divergence and curl.

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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