Electromagnetic Field Theory
Inside a hollow conducting sphere

 electric field is zero.
 electric field changes with distance from the center of the sphere.
 electric field changes with magnitude of the charge given to the conductor.
 electric field is a non zero constant.

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Electromagnetic Field Theory
Gradient of scalar field is expressed as

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

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