Are the changes of electric potential energy equal for a charge moved from point A to point B(electric potential changes) by every paths?

Edited August 18, 201114 yr by stupid boy

If you are asking if the voltage across each of a number of resistances connected in parallel is the same then the answer is yes.

Edited August 18, 201114 yr by TonyMcC

As a matter of fact, this is a (if not the) requirement for a potential energy to be properly defined.

If the field involved is conservative then the answer is yes.

If the field involved is conservative then the answer is yes.

And, as timo stated, this has to be true to call it potential energy. They are basically the same requirement.

I'm not sure what the question is but if length in time direction must be a conserved quantity and lentgth. Although the field of energy will expand in the paths the vector must combined be equal to the energy. Unless i'm completely of track (whihc i feel i may be) you should read up on Feynman's rules regarding energy conservation. You need to also specify the 'phase' of the field.

Edited August 19, 201114 yr by hawksmere

Electric force is conservative force as is gravitation. The work done by or against an electric field in moving a charge from one point to another is independent of the path taken.

Does there exist a field which is non-conservative at all?

Does there exist a field which is non-conservative at all?

 

Friction.

Does there exist a field which is non-conservative at all?

 

A time-varying electromagnetic field is non-conservative.

Well friction is not a field.

 

For a time varying EM field is it possible to move a charge around a closed path such that the net work is non-zero?