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If the electric field is zero, the electric potential is a constant value, but it does not tell you what that value is. All the electric field tells you is how the electric potential changes within the region you are looking at. If the electric potential at one end of a cylindrical region is 7 V and the electric field is zero within the whole cylinder, then the electric potential is 7 V at the other end, or somewhere in the middle, or on the side, and so forth. An electric field of zero tells you the potential does not change, but doesn't say anything about what it is outside of the region you're looking at.

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11y ago

The electric field is zero. In general terms, the electric field is the change in potential over a distance. If the potential does not change, the field is zero

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Q: If potential is constant throughout a given region of space can you say that electric field is zero in that region?
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Is the electric field zero or nonzero in a region of space if the potential is constant throughout this given region?

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