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JEE Main 2024 (9 Apr, Shift 2) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from JEE Main 2024 (9 Apr, Shift 2)

Q50JEE Main 2024 · 9 APR · SHIFT 2Medium

Electric Flux & Gauss's Law

An electric field $\vec{E} = (2x\hat{i})\text{ NC}^{-1}$ exists in space. A cube of side $2\text{ m}$ is placed in the space as per figure given below. The electric flux through the cube is ______ $\text{Nm}^{2}/\text{C}$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 16

$\vec E = 2x\hat i$ gives flux only through the faces $x = 2$ m and $x = 4$ m, each of area $4$ m $^2$ .
Out at $x = 4$ : $8\times4 = 32$ . In at $x = 2$ : $4\times4 = 16$ .
Net flux $= 32 - 16 = 16$ N m $^2$ /C.

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