Electromagnetic Field Theory
Gradient of scalar field is expressed as

 Circulation of a vector field per unit area as the area tends to zero.
 Maximum rate of increase of scalar function at a point.
 Gradient of divergence of a vector field minus the curl of the vector field.
 Outward flux of a vector field per unit volume as the volume about the point tends to zero.

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Electromagnetic Field Theory
Which statement does not say that electrostatic field is conservative?

 The work done in a closed path inside the fields is zero.
 If is gradient of a scalar potential.
 If the curl of E is identically zero.
 The potential difference between two points is zero.

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