A neutral conducting object of irregular shape is placed near a small external…

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Conductors and Capacitors · Conductors and Capacitors

Problem

A neutral conducting object of irregular shape is placed near a small external positive charge. Three points on the surface of the object are labeled as follows: X is the closest point to the external charge, Y is farther away on the same side, and Z is on the side opposite the external charge. Which ranking of the magnitudes of the induced surface charge densities ∣σ∣|\sigma| at these points is most likely? (a) ∣σ∣|\sigma| at Z > ∣σ∣|\sigma| at Y > ∣σ∣|\sigma| at X (b) ∣σ∣|\sigma| at X > ∣σ∣|\sigma| at Y > ∣σ∣|\sigma| at Z (c) ∣σ∣|\sigma| at Y > ∣σ∣|\sigma| at X > ∣σ∣|\sigma| at Z (d) ∣σ∣|\sigma| at X > ∣σ∣|\sigma| at Y = ∣σ∣|\sigma| at Z

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