P25_031 - 31. We use Eq. 25-41: Ex (x, y ) = Ey (x, y ) = V...

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31. We use Eq. 25-41: E x ( x, y )= ∂V ∂x = ³ (2 . 0V / m 2 ) x 2 (3 . / m 2 ) y 2 ´ = 2(2 . / m 2 ) x ; E y ( x, y ∂y = ³ (2 . / m 2 ) x 2 (3 . / m 2 ) y 2 ´ =2(3 . / m 2 ) y. We evaluate at x =3 . 0m and y =2 . 0 m to obtain the magnitude of ~ E : E = q E 2 x + E 2 y =17V / m . ~ E makes an angle
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