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Official PYQ · 2016

GATE EC 2016 Set 1 Q51 — Electronic Devices

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The current density in a medium is given by J→=400sin⁡θ2π(r2+4)a^r Am−2{\overrightarrow J= \frac{400 \sin\theta}{2\pi(r^2+4)} \hat {a}_r \: Am^{-2}}

The total current and the average current density flowing through the portion of a spherical surface r=0.8 mr = 0.8 \: 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

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