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AP Physics C: E&M
9.2 Electric Potential
IntermediateMCQMathematicalConceptual19.4k
Point (x_0, y_0) in Quadrant I of the xy-plane.
Point (x_0, y_0) in Quadrant I of the xy-plane.
The electric potential in a region of two-dimensional space is given by the function \(V(x, y) = \alpha x^2 - \beta y^2\), where \(\alpha\) and \(\beta\) are positive constants. Which of the following correctly gives the electric field vector \(\vec{E}\) at a point \((x_0, y_0)\) located in the first quadrant (where \(x_0 > 0\) and \(y_0 > 0\)), and identifies the quadrant of the \(xy\)-plane toward which \(\vec{E}\) points?

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