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Official PYQ · 2025

GATE EC 2025 Set 1 Q39 — Maxwell's Equations

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A square metal sheet of 4 m×4 m4 \mathrm{~m} \times 4 \mathrm{~m} is placed on the x−yx-y plane as shown in the figure below.

If the surface charge density (in μC/m2\mu \mathrm{C} / \mathrm{m}^{2} ) on the sheet is ρs(x,y)=4∣y∣\rho_{s}(x, y)=4\mid y \mid, then the total charge (in μC\mu \mathrm{C}, rounded off to the nearest integer) on the sheet is ______\_\_\_\_\_\_

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Answer: C

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