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AP Physics C: E&M
9.2 Electric Potential
IntermediateMCQGraphicalMathematical23.8k
A 2D coordinate plot centered at the origin showing three concentric dashed circular lines representing equipotential curves. The innermost circle of radius R_0 is labeled V_0. The second circle of radius \sqrt{2}R_0 is labeled 2V_0. The third circle of radius \sqrt{3}R_0 is labeled 3V_0. The axes are labeled x and y. No other labels, lines, text, or arrows appear.
Equipotential curves centered at the origin.
In a two-dimensional region of space, a series of concentric circular equipotential curves is mapped. The electric potential of the \(n\text{th}\) curve is given by \(V_n = n V_0\), where \(n = 1, 2, 3, \dots\), and its corresponding radius is \(r_n = R_0 \sqrt{n}\), where \(V_0\) and \(R_0\) are positive constants. Which of the following expressions best represents the magnitude of the radial electric field \(E(r)\) as a function of distance \(r\) from the origin?

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