The electric potential in a region of the xy-plane is given by

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

The electric potential in a region of the xy-plane is given by V(x,y)=12 V−(2.0 V/m)x+(3.0 V/m)yV(x,y) = 12\,\text{V} - (2.0\,\text{V/m})x + (3.0\,\text{V/m})y. What is the electric field vector at the point (2.0 m,−1.0 m)(2.0\,\text{m}, -1.0\,\text{m})? (a) (−2 V/m) ı^+(3 V/m) ȷ^(-2\,\text{V/m})\,\hat\imath + (3\,\text{V/m})\,\hat\jmath (b) (2 V/m) ı^+(3 V/m) ȷ^(2\,\text{V/m})\,\hat\imath + (3\,\text{V/m})\,\hat\jmath (c) (2 V/m) ı^−(3 V/m) ȷ^(2\,\text{V/m})\,\hat\imath - (3\,\text{V/m})\,\hat\jmath (d) (−3 V/m) ı^+(2 V/m) ȷ^(-3\,\text{V/m})\,\hat\imath + (2\,\text{V/m})\,\hat\jmath

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