Q 12-02-037JEE MainJEE Main 2026 (6 Apr, Shift 2)Easy
The electric potential as a function of $x, y$ is given by $V = 5(x^2 - y^2)$ V. The electric field at a point $(2, 3)$ m is ______ V/m.
Answer: (A) $(-20\hat{i} + 30\hat{j})$
$\vec{E} = -\nabla V = -10x\,\hat{i} + 10y\,\hat{j}$.
At $(2, 3)$: $\vec{E} = -20\hat{i} + 30\hat{j}$ V/m.
Solution by Sreeraj P, M.Sc Physics