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AP Physics C: E&M
9.2 Electric Potential
IntermediateMCQMathematicalConceptual17.7k
Two point charges on the x-axis with point P at the origin.
Two point charges on the x-axis with point P at the origin.
Two point charges, \(+q\) and \(-q\), are held fixed on the \(x\)-axis at coordinates \(x = -d\) and \(x = +d\), respectively, where \(d > 0\). The electric potential is defined to be zero at an infinite distance from the charges, and the unit vector \(\hat{i}\) points in the \(+x\)-direction. Which row in the table correctly identifies the net electric potential \(V\) and the net electric field vector \(\vec{E}\) at the origin \(P(0,0)\)?

Net Electric Potential \(V\)Net Electric Field Vector \(\vec{E}\)
Row A\(\dfrac{q}{2\pi\varepsilon_0 d}\)\(\vec{0}\)
Row B\(\dfrac{q}{2\pi\varepsilon_0 d}\)\(\dfrac{q}{2\pi\varepsilon_0 d^2}\hat{i}\)
Row C\(0\)\(\vec{0}\)
Row D\(0\)\(\dfrac{q}{2\pi\varepsilon_0 d^2}\hat{i}\)

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