Question

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.

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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