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which of the following diagrams correctly displays the polarization of a metal sphere by an electric field that points to the left, using the conventions discussed in the matter and interactions textbook?

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Final answer:

The correct diagram that displays the polarization of a metal sphere by an electric field that points to the left is figure (d), which shows a positively charged metal sphere with the charge concentrated on the surface.

Step-by-step explanation:

The correct diagram that displays the polarization of a metal sphere by an electric field that points to the left is figure (d), which shows a positively charged metal sphere with the charge concentrated on the surface. In this diagram, the electric field inside the sphere is zero, and the electric field outside is the same as the electric field of a point charge at the center of the sphere.

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