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+ q free on inner surface. + + + + + + + + + + + +. - q bound. Symmetry – fields must be uniform – field lines perpendicular to plates . + q bound. - - - - - - - - - - - -. - q free on inner surface. Interior points electric

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  1. +qfreeon inner surface + + + + + + + + + + + + -qbound Symmetry – fields must be uniform – field lines perpendicular to plates +qbound - - - - - - - - - - - - -qfreeon inner surface Interior points electric field must be zero

  2. + + + + + conductor - - - dielectric Gauss’s Law

  3. dielectric constant frequency

  4. + + + + + + + + + + + + - - - - - - - - - - - - V = 0

  5. iron core BFe HFe Bgap Hgap gap region i coil windings Bair Hair

  6. thickness t width L q = - e area A electrons are the charge carriers in copper

  7. + + + + + + + + + dy + + + + + + + + + F - - - - - - - - - -q +q

  8. Induced dipole moment – helium atom +2e +2e -e -e -e -e Zero electric field – helium atom symmetric  zero dipole moment A B effectively charge +2e at A and -2e at B dipole moment p = 2ed

  9. Er E P r2  r + (d/2)cos r1  r – (d/2)cos r (d/2)cos  +q -q

  10. dA +f + + + + + + + + +  -b   +b  - - - - - - - - - -f

  11. -q +q

  12. S +f -b O r +b -f

  13. - - -  d r Pcos + S + + The area of the shaded ring between  and  + d is equal to

  14. +Ze +Ze d a a d << a

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