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JEE Main 2022 (27 Jun, Shift 1) · Electric Current, Drift Velocity & Current Density

Electric Current, Drift Velocity & Current Density question from JEE Main 2022 (27 Jun, Shift 1)

Q18JEE Main 2022 · 27 JUN · SHIFT 1Medium

Electric Current, Drift Velocity & Current Density

The current density in a cylindrical wire of radius 4 mm is 4 ×\times 106 Am−2{}^{-2}. The current through the outer portion of the wire between radial distances R2\frac{R}{2} and R is ____________ π\pi A.

Numerical answer type. Work it out, then open the answer.

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Answer: 48

  1. Uniform JJ: I=J⋅π(R2−R24)=3πR2J4I = J \cdot \pi\left(R^{2} - \dfrac{R^{2}}{4}\right) = \dfrac{3\pi R^{2} J}{4}
  2. I=3π×16×10−6×4×1064=48π AI = \dfrac{3\pi \times 16 \times 10^{-6} \times 4 \times 10^{6}}{4} = 48\pi\text{ A}
  3. Answer: 48
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