Lec04 - W V V V AB A B ∆ ⋅ − = ⋅ ∆ ⋅ − = − == − ∆ cos s V E ∆ ∆ − = Electric Potential of a Point Charge • The value

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Relating Electric Potential to Electric Field Every location in an electric field can be assigned an electric potential ( once the location of zero potential is chosen ). This map of potential values tell us the direction and magnitude of the electric field. In an uniform electric field This leads to an equation which is true in general: Namely, the magnitude of electric field is equal to the gradient of electric potential (which is the slope of the “ potential versus position ”curve). Equipotential surface is a surface on which the electric potential is the same everywhere. Equipotential surfaces are perpendicular to electric field directions everywhere. The net electric force does no work as a charge moves on an equipotential surface. Electric field lines A B E q F r r = E q F r r = q q s s E q s qE q
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Unformatted text preview: W V V V AB A B ∆ ⋅ − = ⋅ ∆ ⋅ − = − == − ≡ ∆ cos s V E ∆ ∆ − = Electric Potential of a Point Charge • The value of electric potential at a distance r from a point charge q is given by – This expression is derived using calculus – It gives value of potential relative to that at infinite distance – Equipotential surface is a spherical surface of radius r • The potential V is a scalar. It can have either positive or negative value, depending on the sign of Q. • For two or more point charges, the total potential at a given point is the algebraic sum of the potential due to each charge. ⋅ ⋅ + + = 2 2 1 1 r kq r kq V V=? + − 1 q 2 q 1 r 2 r • q r Electric field lines + Equipotential Surface r kq V =...
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This note was uploaded on 12/06/2011 for the course PHYSICS 111&112 taught by Professor Unknown during the Spring '11 term at Ohio State.

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Lec04 - W V V V AB A B ∆ ⋅ − = ⋅ ∆ ⋅ − = − == − ∆ cos s V E ∆ ∆ − = Electric Potential of a Point Charge • The value

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