What is flux• The flow of energy through a surface.• In electronics, the term applies toany electrostatic field andany magnetic field . Flux is called as"lines" in a plane that contains orintersects electric charge poles ormagnetic poles.
WHAT IS DIVERGENCE Divergence is an operation which isperformed on vector and that results inscalar quantity. It tells how much flux is entering orleaving a small volume(or a point) perunit volume. divergence is just the net flux per unitvolume, or “flux density”.◦ Divergence = Flux / Volume.• It states that the sum of all sources minusthe sum of all sinks gives the net flow out of a
Types of Divergence Zero Divergence◦ No net flux inside the region or volume.
Types of Divergence POSITIVE DIVERGENCE◦ Divergence of vector field is positive ifvector diverges or spread out from givenpoint.
Types of Divergence Negative Divergence◦ Divergence of vector field is callednegative if vector converges at that givenpoint.
Divergence of Vector Field Divergence of vector field A is measure ofhow much a vector field converges to ordiverges from a given point in volume. The divergence of a vector field A isdefinedasDiv A= A
DEL OPERATOR "del operator", usually denoted by thesymbol (which is called the"nabla"). This can be regarded as avector whose components in the threeprinciple directions of a Cartesiancoordinate system(or any other) arepartial differentiations with respect tothose three directions(x,y,z) or anyother
DEL OPERATOR the del operator can be expressed asLetting i, j, k denote the basis vectors inthe x,y,z directions.
Methamatical representationDivergence Total flux change = (field change in X direction)+ (field change in Y direction) + (field change inZ direction)Assuming F1 is the field in the X direction, F2 inthe Y and F3 in the Z.
Methamatical representationIn Cylinderical FormIn the above Divergence of vector A isin cylinderical form.
Methamatical representationIn Spherical FormIn the above Divergence of vector A isrepersented in Spherical form.