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GATE EC 2016 Set 1 — Question 61

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MCQ+2 / -0.67MediumLine, Surface & Volume IntegralsVector CalculusEngineering MathematicsDifferential & Integral FormsMaxwell's EquationsElectromagnetics

Electromagnetics → Maxwell's Equations → Differential & Integral Forms

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Question

The current density in a medium is given byJ⃗=400sin⁡θ2π(r2+4)a^r Am−2\vec{J} = \frac{400 \sin \theta}{2\pi(r^2 + 4)} \hat{a}_r \text{ Am}^{-2}The total current and the average current density flowing through the portion of a spherical surface r=0.8 mr = 0.8 \text{ m}, π12≤θ≤π4\frac{\pi}{12} \leq \theta \leq \frac{\pi}{4}, 0≤ϕ≤2π0 \leq \phi \leq 2\pi are given, respectively, by
  1. A.
    15.09 A, 12.86 Am−2^{-2}
  2. B.
    18.73 A, 13.65 Am−2^{-2}
  3. C.
    12.86 A, 9.23 Am−2^{-2}
  4. D.
    10.28 A, 7.56 Am−2^{-2}

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