All questions
AP Physics C: E&M
9.2 Electric Potential
IntermediateMCQGraphicalMathematicalConceptual25.7k
A Cartesian coordinate plane with horizontal axis labeled x and vertical axis labeled V. The horizontal axis extends symmetrically from -x_0 to +x_0, with tick marks labeled -x_0 at the far left, 0 at the origin, and +x_0 at the far right. The vertical axis extends upward from 0, with a single tick mark at the maximum height labeled V_0. A smooth solid curve forms a symmetric parabola opening upward with its vertex located at the origin (0, 0). The curve passes through the points (-x_0, V_0) and (+x_0, V_0). Horizontal and vertical dashed line segments connect (-x_0, V_0) to the axes and (+x_0, V_0) to the axes. No other labels, lines, text, or axes appear.
Graph of electric potential \(V\) as a function of position \(x\).
The electric potential \(V\) in a region of space along the \(x\)-axis is given by the function \(V(x) = \alpha x^2\), where \(\alpha\) is a positive constant. The graph shows \(V\) as a function of position \(x\) over the interval \(-x_0 \le x \le x_0\). Which of the following graphs best represents the \(x\)-component of the electric field, \(E_x\), as a function of position \(x\) over the same interval?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Tools for a 5