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The electric potential in a region of space is V=( 260 x2− 160 y2)V, where x...

The electric potential in a region of space is V=( 260 x2− 160 y2)V, where x and y are in meters. What is the strength of the electric field at  (x,y)=(2.0m,2.0m) ?

What is the direction of the electric field at  (x,y)=(2.0m,2.0m)? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis.

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Answer #1

= ( 2 * 260 * x)

at x=2 , = 2*260*2 = 1040 V/m

= ( - 2* 160 * y)

at y = 2 , = - 2 * 160 * 2 = -640 V/m

= ( 1040 , -640 )

= 31.6 degrees counterclockwise from positive x axis

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