GaussLaw

# GaussLaw - A ’s direction Q when the flux is 0 8 The...

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1 The Gauss’ Law Electric field of A point charge Q

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2 The Gauss’ Law Electric field of An infinitely long straight wire with charge density λ.
3 The Gauss’ Law

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4 The Gauss’ Law Electric field of An infinitely large plane with charge density σ.
5 The Gauss’ Law

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6 The Gauss’ Law Electric field of Solid insulator sphere with radius R, charge density ρ.
7 The flux The definition: The electric flux: Flux Φ is defined at the “fluid” velocity V times the cross section A that the fluid flows through: Φ = V A Here both V and A are vectors. If one visualizes electric field lines as some kind of fluid, one can define the electric flux Φ E as field E times the cross section A that the field flows through: Φ E = E A = EA Cos θ Here both E and A are vectors. When E goes perpendicularly through A, or in parallel with

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Unformatted text preview: A ’s direction, Q? when the flux is 0? 8 The Gauss’ Law The Gauss’ Law: The electric flux of an enclosed surface equals the amount of net charge inside this surface divided by the permittivity constant ε o . 9 Point charge case When the charge is a point charge: 10 Point charge case 11 Linear charge When the charge is evenly distributed on a long straight line: 12 Linear charge 13 2-D charge When the charge is evenly distributed on a large plane 14 2-D charge 15 Parallel-plate capacitor Two large parallel plates form a capacitor: a device that stores charges. 16 3-D charge Charge on a conductive sphere. 17 3-D charge Charge on a conductive sphere. 18 3-D charge Charge in a non-conductive sphere. 19 3-D charge Charge in a non-conductive long rod....
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