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GATE EE 2022 Set 1 — Question 45

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MCQ+2 / -0.67MediumGradient, Divergence & CurlVector CalculusEngineering MathematicsAmpere's LawMagnetostaticsElectromagnetic Fields

Electromagnetic Fields → Magnetostatics → Ampere's Law

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Question

If the magnetic field intensity (H\mathbf{H}) in a conducting region is given by the expression, H=x2i^+x2y2j^+x2y2z2k^\mathbf{H} = x^2 \hat{i} + x^2 y^2 \hat{j} + x^2 y^2 z^2 \hat{k} A/m. The magnitude of the current density, in A/m2^2, at x=1x = 1 m, y=2y = 2 m, and z=1z = 1 m, is
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