NVAMediumJEE Main 2023 · 30 January, Shift 2Gauss's Law Applications

Physics Question from JEE Main 2023 · 30 January, Shift 2

As shown in figure, a cuboid lies in a region with electric field E=2x2i^4yj^+6k^\mathbf{E} = 2x^2 \hat{i} - 4y \hat{j} + 6 \hat{k} N/C. The magnitude of charge within the cuboid is nϵ0n \epsilon_0 C. The value of nn is _____ (if dimensions of cuboid are 1×2×3m31 \times 2 \times 3 \, \text{m}^3)

A cuboid in three-dimensional axes with origin marked at (0,0,0), and vertices indicated by (1,0,0), (0,2,0), and (0,0,3).

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