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AP Physics C: E&M
9.2 Electric Potential
IntermediateMCQMathematicalProportional Analysis20.4k
Two side-by-side rectangular panels labeled Region 1 on the left and Region 2 on the right. In the left panel, three equally spaced vertical dashed lines represent planar surfaces viewed edge-on. A horizontal double-headed arrow between the first two lines is labeled \(2d\). Labels above adjacent lines indicate a potential change of \(\Delta V\). In the right panel, three equally spaced vertical dashed lines have half the spacing of those in the left panel. A horizontal double-headed arrow between the first two lines is labeled \(d\). Labels above adjacent lines indicate a potential change of \(3\Delta V\). No other labels, lines, text, or axes appear.
Equipotential surfaces for Region 1 and Region 2.
Two separate regions of space contain uniform electric fields. In Region 1, a series of parallel planar equipotential surfaces are separated by a uniform distance \(2d\), with a potential difference of \(\Delta V\) between adjacent surfaces. In Region 2, a series of parallel planar equipotential surfaces are separated by a uniform distance \(d\), with a potential difference of \(3\Delta V\) between adjacent surfaces. What is the ratio \(E_2 / E_1\) of the magnitude of the electric field in Region 2 to that in Region 1?

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