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GATE EC 2025 Set 1 — Question 49

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MCQ+2 / -0.67MediumDouble & Triple IntegralsCalculusEngineering MathematicsLine, Surface & Volume IntegralsVector Calculus

Engineering Mathematics → Calculus → Double & Triple Integrals

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Question

A square metal sheet of 4 m×4 m4\text{ m} \times 4\text{ m} is placed on the xx-yy plane as shown in the figure below.
If the surface charge density (in μC/m2\mu\text{C/m}^2) on the sheet is ρs(x,y)=4∣y∣\rho_s(x, y) = 4|y|, then the total charge (in μC\mu\text{C}, rounded off to the nearest integer) on the sheet is ________.

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