Read the summary and the most important questions on Electrostatistcs

• 2.2 Divergence and electrostatistcis

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• At what point does the electric field fall off ?

  The vectors go shorter the further away from the origin and they alwaysy point radially utward

• How do field lines represt the arrows

  The arrows have the strength of the field which was contained in th elengt of the arrow but fieldlines contain the magintude of the field which is indicatied by the density of dfield lines. Dense near the centre far apart at ethe end. The number of lien ==e pssing through a surface is is te tota numver divided by the area/circumference. Field lines begin on positive charges and end on negative charges.

• 2.3 Electric Potential

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• How come the formula for the potential is a line integral?

  This come forth outh of the curl of E being equal to zero and using curls theorem. Thus we also have path independenceCmbined with the fundamental theorem forgradiens.

• How is the surface called over which the potentials is constant?

  It is called an equipotential

• 2.4 Work and Enegry in electrostatistcs

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• What is the relation between work and path?

  It is independent of the path that is taken from a to b. Meaning that the potential diference between point and b is equal to the work unit xharge required to carry a particle from a to b .

• 3.4 Multipole expansion

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• What is an electric dipole? Quadropole? Octopole? MonopoLE

  It is atwo poles that consists of two eqyual and oposite charges seperated by a distance d. 1/r^2 potntial. I f we put otgether rqual and opposite dipoles ewe get a quadroupole 1/r^3 potential. If we do two quadrupoles we get and octoopole and that is 1/r^4. This is multipole expanion.

• 4.1 Polarization

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• What are dielectrics? What are its two principle mecancis?

  All charges of a dielectric are attacehed to specific atoms or molecules.They are on a tight leash and all they can do is move a bit. So they are very similar to insularor or we could even say that they are the same due to all insulators being made out of matter. 
   
  Its main principle mechanics are stretching and rotating.

• 4.2 The field of a polarized object

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• What are bound charges?

  They come from the derivation of the electric field produced by the dipole. We then use the formula of potential abd the dipole moment p=Pdtau in combijnatin iwth the divergence theorem leads to a surface charge and a volume charge. So instead of integrating the contribuitions of teh infineisemall dipoles uou can just use teh bound charges.. This becomes then the ame as we wpuld calculate the potential of any normal potential.

• 4.3 The electric displacement

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• How does gaus law in the presence of dielectrics work?

  It relates to the field attributable to bound charge plus the field due to everything else which we call free charge. Any charge that is not a result of polarization.  When filling this in E is the total field. Aned not just the protions generated by polariztion. 
  This one results in the letter D which is called the e lectric displacement.

• 4.4 Linear dielectrics

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• What is the cause of P ? How do we call materials that obey this?

  The polarization of a dieleectric reults fro, an electric field. Provided E si not too strong, the polarization is proprotionl tp the field. Materials that obey this are called linear dielectrics. E is the total field!