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ELECTROSTATICS - Coggle Diagram
ELECTROSTATICS
GAUSS'S LAW
Gauss’s law states that the net flux of an electric field in a closed surface is directly proportional to the enclosed electric charge.
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The total flux with a closed Gaussian surface is (1/ε0) times the change enclosed by the closed surface. Φ= ∫E⋅dA = Q(enclosed)/ ε0
If there are no changes enclosed by a surface, the net electric flux remains zero. It means the number of electric lines entering the surface is equal to the electric leaving the surface
For a closed surface outward flux is taken to be positive while inward flux is taken to be negative.
To get a direct connection between electric flux through closed surface and the total charge inside it
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ELECTRIC POTENTIAL,V
the work done in bringing positive test charge from infinity to the point in the electric field per unit test charge. V = W/q0
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Relation between electric field, E and potential difference, V
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Also, Work = Force x Displacement
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Electric potential, V vs Distance, r
V vs r for a positive charge
V vs r for a negative charge
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ELECTRIC POTENTIAL ENERGY,U
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Relation between Electric Potential Energy, U and Electric Potential, V
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COULOMB'S LAW
states that the magnitude of the electrostatic force between two point charges is proportional to the product of the charges and inversely proportional to the square of the distance between them. F = kQ1Q2 / r^2
Unit Charge : Coulomb, C and the proportionality constant in Coulomb's Law is k = 9 x 10^9 Nm^2C^-2
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