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SAT® Subject Test in Physics

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Moderate

Two Charge Zero Electric Potential

SATPHY-LGLQCN

In which pictured region (if any) in the diagram below could the electric potential possibly be zero (excluding points at infinite distance from the spheres)?

The diagram shows two spheres, charged uniformly as indicated. All regions are along a line connecting the centers of the objects.

Region $A$ is anywhere to the left of the 5.0 Coulomb charge. Region $B$ is to the right of the 5.0 Coulomb charge and closer to the 5.0 Coulomb charge than to the 3.0 Coulomb charge. Region $C$ is to the right of the 5.0 Coulomb charge but closer to the 3.0 Coulomb charge than to the 5.0 Coulomb charge. Region $D$ is anywhere to the right of the 3.0 Coulomb charge.

A

$A$

B

$B$

C

$C$

D

$D$

E

There is no region where the electric potential could possibly be zero.