The electric potential at a point is given by

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

Problem

The electric potential at a point (x,y,z)(x, y, z) is given by V=−x2y−xz3+4V = -x^2y - xz^3 + 4. The electric field E⃗\vec{E} at that point is: (2009) (a) E⃗=i^2xy+j^(x2+y2)+k^(2xy−y2)\vec{E} = \hat{i}2xy + \hat{j}(x^2 + y^2) + \hat{k}(2xy - y^2) (b) E⃗=i^z3+j^xyz+k^z2\vec{E} = \hat{i}z^3 + \hat{j}xyz + \hat{k}z^2 (c) E⃗=i^(2xy+z3)+j^xy2+k^3z2x\vec{E} = \hat{i}(2xy + z^3) + \hat{j}xy^2 + \hat{k}3z^2x (d) E⃗=i^(2xy+z3)+j^x2+k^3xz2\vec{E} = \hat{i}(2xy + z^3) + \hat{j}x^2 + \hat{k}3xz^2

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