86. Electric Field from Electric Potential in Two Dimensions

86. Electric Field from Electric Potential in Two...

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Electric Field from Electric Potential in Two Dimensions Given is the electric potential: V ( x, y ) = ax 2 + bxy 3 with a = 1 V/m 2 , b = 1 V/m 4 . Find the electric field: ~ E ( x, y ) = E x ( x, y ) ˆ i + E y ( x, y ) ˆ j via partial derivatives. E x = - ∂V ∂x
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Unformatted text preview: =-2 ax-by 3 , E y =-V y =-3 bxy 2 E = 0 E = 0 V = 0 x y E = 0 E = -2V/m V = 1V x y E = 0 E = -1V/m V = 0 x y E = -3V/m E = -3V/m V = 2V x y 1m y x tsl86 p.1/1...
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This note was uploaded on 04/30/2008 for the course PHYS 204 taught by Professor Andrevantonder during the Spring '07 term at Rhode Island.

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