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Statement I: If electric potential in ce...

Statement I: If electric potential in certain region is constant, then the electric field must be zero in this region.
Statement II: `vecE = -(dV)/(dr) hatv`.

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Following are two statements about the relationship between the electric field an electric potential. If the electric potential is constant in a region, then the electric field is zero in that region. Giving example, predict whether these statements are correct or false.

Statement I : A non-zero electric potential may exist at a point where electric field strength is zero. Statement II : Both electric potential and electric field strength depends on the source charge and not on the test charge.

Assertion: If electric potential remains constant along a path in electric field, then the electric field must be zero. Reason: The negative of an electric potential gradient in a direction is equal to the component of electric field in that direction.

Find the electric field in region II as in figure shown.