Ch 30 Potential Field - The Geometry of Potential and Field...

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Chapter 30 Potential and Field
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Connecting V and E The four ideas q U V sources q + = - = - = f i s s s ds F f i W U ) ( q U V sources q + = - = - = f i s s s i f ds E s V s V V ) ( ) ( Example:uniform E: ds E V s - = s E V s - =
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Finding the potential of a point charge from E field - = - = r r dr E r V V V ) ( ) ( 2 4 1 r q E o r πε = r q r q V r dr q V r V o r o r o 4 1 0 1 4 ) ( 4 ) ( ) ( 2 + = - + = + = 2 4 1 r q E o r =
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Finding E from V s E q W q U V s source q - = - = = + ds dV E s - =
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Field parallel to a coordinate axis r q r q dr d dr dV E o o r πε 4 1 4 = - = - = Suppose we know the potential of a point charge but didn’t remember the E field
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Unformatted text preview: The Geometry of Potential and Field Electric field at P is related to the shape or geometry of equipotential surfaces s V V s V ds dV E --= -=-=-+ Geometry of V and E x V E x -= y V E y -= z V E z -=...
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Ch 30 Potential Field - The Geometry of Potential and Field...

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