Chapter 24a - Chapter 24: Electric Potential Part A ! ! ! !...

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September 14, 2009 Ch. 24: Electric Potential - Part A 1 Chapter 24: Electric Potential – Part A ! Review of Gauss’ law and applications. ! Electric potential energy. ! HITT question. ! Electric potential ! Equipotential surfaces.
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September 14, 2009 Ch. 24: Electric Potential - Part A 2 Gauss’ Law ! The electric field through any closed surface is proportional to the enclosed electric charge. ! Gauss’ law for vacuum (or air) medium: ! The enclosed charge is the algebraic sum of all the enclosed positive and negative charges. It could be positive, negative or zero. ! If q enc is positive, the flux is outward, if q enc is negative, the flux is inward. 0 0 o enc enc q Ed A q ε ⋅= Φ= !!
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September 14, 2009 Ch. 24: Electric Potential - Part A 3 Gauss’ Law – Planar Symmetry ! Isolated conductor. ! Charged nonconducting sheet. 0 0 , inside the conductor , outside the conductor E E σ ε = = 0 2 E =
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September 14, 2009 Ch. 24: Electric Potential - Part A 4 Gauss’ Law – Spherical Symmetry ! Two shell theorems. 2 0 4 , q Er R r πε =≥ 0 , R =< ! A uniform charge distribution. 2 0 4 q R r 3 0 4 r, q R R =≤
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September 14, 2009 Ch. 24: Electric Potential - Part A 5 Gauss’ Law – Cylindrical Symmetry ! A charged shell. ! A uniform charge distribution. 0 2 0 2 2 ρ ε =≤ =≥ , Er r R R R r 0 2 E r λ πε = R r E !
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September 14, 2009 Ch. 24: Electric Potential - Part A 6 Electric Potential ! Electric potential energy. q 1 q 2 q 3 We assign an electric potential energy U to a system when an electrostatic force acts between two or more charged particles within that system of particles. The electrostatic force is a conservative force, that is the principle of the conservation of energy applies to closed systems involving the electrostatic force.
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Chapter 24a - Chapter 24: Electric Potential Part A ! ! ! !...

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