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

[little boy]

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, 2011 by stupid boy

[TonyMcC]

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, 2011 by TonyMcC

[timo]

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

[davey2222]

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

[swansont]

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.

[hawksmere]

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, 2011 by hawksmere

[rktpro]

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.

[davey2222]

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

[rktpro]

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

 

Friction.

[DrRocket]

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

 

A time-varying electromagnetic field is non-conservative.

[davey2222]

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?