Electric Flux, Gauss's Law, Electricity and Charge Density | PHY 212, Study notes of Physics

Material Type: Notes; Class: General Physics II; Subject: Physics; University: Syracuse University; Term: Unknown 2008;

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Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.
Chapter 28. Gauss’s Law
The nearly spherical shape
of the girl’s head determines
the electric field that causes
her hair to stream outward.
Using Guass’s law, we can
deduce electric fields,
particularly those with a
high degree of symmetry,
simply from the shape of the
charge distribution.
Chapter Goal: To
understand and apply
Gauss’s law.
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Chapter 28. Gauss’s Law

Chapter Goal: charge distribution.simply from the shape of thehigh degree of symmetry,particularly those with adeduce electric fields,Using Guass’s law, we canher hair to stream outward.the electric field that causesof the girl’s head determines The nearly spherical shape To Gauss’s law.understand and apply

  • Topics: The Concept of Flux

Gauss’s Law

Conductors in Electrostatic Equilibrium

Calculating Electric Flux

Symmetry

Using Gauss’s Law

Chapter 28. Gauss’s Law

E. None of the above.D. Charge surface density.C. Electricity.B. Gauss’s Law. A. Electric flux. calledpassing through a surface is The amount of electric field

E. None of the above.D. Charge surface density.C. Electricity. B. Gauss’s Law. A. Electric flux.calledpassing through a surface is The amount of electric field

electric fields that are Gauss’s law is useful for calculating

D. due to continuous charges.C. due to point charges. B. uniform. A. symmetric.

D. closed surfaces.C. spheres only.B. flat surfaces. A. lines.^ Gauss’s law applies to

D. symmetric.C. radial.B. zero. A. uniform. equilibrium isconductor in electrostatic The electric field inside a

D. symmetric. C. radial. B. zero. A. uniform. equilibrium isconductor in electrostatic The electric field inside a

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

The Electric Flux

passing through a surface of area The electric flux measures the amount of electric field A whose normal to the surface is tilted at angle  from the field. dot-product:We can define the electric flux more concisely using the

EXAMPLE 28.1 The electric flux inside a

parallel-plate capacitor

EXAMPLE 28.1 The electric flux inside a

parallel-plate capacitor

Tactics: Evaluating surface integrals

Copyright © 2008 Pearson Education, Inc., publishing as Pearson Addison-Wesley.

The Electric Flux through a Closed Surface

The electric flux through a closed surface is NOTE: surface.a vast number of tiny pieces, pieces that now cover a closedThe electric flux is still the summation of the fluxes through A closed surface has a distinct inside and outside. The area vector dA is defined to always point toward the outside. This removes an ambiguity that was present for a single surface, where dA could point to either side.