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Systems of conductors and electrostatic field

1) inner Electric field to a conductor and upgrades them:

In electrostatics the inner electric field to a conductor must otherwise be null the charges muoverebbero, it upgrades them of the rest being legacy to the field from and = - grad V cannot that to be constant.

 

2) electrostatic Field in proximity of a conductor :

Taking advantage of the conservatività of and applied to a closed circuit one finds that the tangent member of and conserve, for which if the field and inside to the conductor must be 0, it she will be also the tangent member of and externally to the conductor therefore and turns out to be orthogonal to the surface of the conductor.

 

3) Job of extraction :

Draft of the job necessary in order to carry itself loads with test from one inner position to one external but next position to the conductor.

 

4) Theorem of Coulomb :

In a next point to a conductor the electric field has equal module to and is directed the outgoing normal school second if s > 0 and second the entering normal school if s < 0. The theorem is obtained applying to Gauss to cilindretto a place on the surface of separation between a conductor and the empty one.

 

5) Describe the phenomenon of the complete induction :

The inner electric field to a conductor is 0, therefore for Gauss the flow must is the 0 therefore inner charges to a line sluice must totally be 0 but if the conductor is cable and in the cavity there is loads, then in order to maintain to the inner neutrality the conductor it will have to exhibit to the cavity loads opposite.

 

6) To be able of the tips :

The density of loads is greater laddove the curving beam is smaller, in virtue of the theorem of Coulomb this happens also for the electric field.

 

7) Ability to a conductor and unit of measure :

It is the relationship between loads that it comes supplied the conductor and the potential difference them that consequently it comes to assume. Measure in Farad.

 

8) Relations between tensions, ability and coefficients of upgrade them in the case of 2 conductors :

being p21 the coefficient of which it is raised upgrades them of sphere 2 for effect of an increase of loads on sphere 1.

 

9) electrostatic Condenser and its ability :

An electrostatic condenser is a system constituted from two metallic slabs pointed out so that on they the complete induction is taken place .

 

10) Ability to the spherical, cylindrical and flat condenser :

obtains the integral AV as of line of the field between R1 and R2 .

the field is obtained applying to Gauss and the AV through the integral of line between R1 and R2 .

is obtained applying the theorem of Coulomb

 

11) electrostatic Energy of a continuous distribution of loads :

The electrostatic energy is upgrades them to unit of loads therefore

 

12) electrostatic Energy of a loaded condenser :

 

13) Density of electrostatic energy :

from it obtains the electrostatic energy integrating on all the space

 

14) Equation of Poisson :

is obtained arranging with

 

15) general Problem of electrostatics :

The problem of the determination agrees of upgrades resolving them the imposing determined conditions to the contour.

 

16) Problem of Dirichlet :

They are famous upgrades them on the superficial ones of the conductors and it upgrades them to infinite = 0, moreover not loaded are localized, the equation is reduced to the from which determining she upgrades them in the surrounding space the conductors.

 

17) Equation of Laplace :