Conservative field property This is also the method to determine the conservative field.
Follow the object field of gravity Gravity during middle movement Work Similarly, when the charge moves in the electric field Electric field force Work done. Charge at electrostatic field When moving from one point to another, the value of the work of the electric field force is only related to the position of the first and last two points, and has nothing to do with the shape of the path it passes through. If the charge starts at a certain point in the electrostatic field along any closed path and returns to the original starting point (that is, the first and last two points, at the same position), the work done by the electric field force is equal to zero. Forces and fields with this feature are called Conservatism Electrostatic field force and gravity are conservative forces, while electrostatic field and gravity field are conservative fields There are two closely related concepts: Path independent and Irrotational vector field 。 Any conservative field curl They are all zero (hence irrotational) and also path independent. The basic theorem of vector analysis indicates that any Vector field Can be expressed as a Conservative vector field And a spiral vector field. 
