Question

give the value of loop integral integration E.dl vector​

Answer 1

Explanation:

Can anyone provide me with a physical interpretation of in electrostatics?

is a conservative field, i.e. it comes from a potential through . This is a consequence of the triviality of the cohomology groups of

(with exception of which counts the connected components). – Phoenix87

Jan 11 '15 at 17:43

7 @Phoenix87: Cohomology for someone asking for a physical interpretation of an electrostatics equation? :P –

DanielSank Jan 11 '15 at 17:49

@Phoenix87 I'm afraid my math isn't that advanced to understand your statement. –

Oscar Flores

Answer 2

Explanation:

Electrostatic forces are comservative in

nature.When a unit positive test charge is

moved from one point to another against a

electrostatic field of positive line charge it

undergoes repulsion due to like

charges.Hence a certain amount of work is

done to move the charge towards the

positive line charge.When an external force

does work in taking a body from one point to

another against a force, then work gets

stored as potential energy.Once when the

force is removed the body moves, gaining

kinetic energy and losing equal amount of

potential energy Thus the sum of kinetic

and potential energy is conserved.Thus no work is done in moving a unit

positive test charge over a closed path in an

electric field.Mathematically,we express this result as ,line integral of closed path in the electric

field is always zero.ie