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AP Physics C: E&M/Unit 11 – Electric Circuits
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Current Density in a Conical Conductor

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A steady current is maintained in a conical conductor with circular cross-sections. The radius of the smaller end is r1=2 mmr_1 = 2\ \text{mm}, and the radius of the larger end is r2=6 mmr_2 = 6\ \text{mm}. The current density is uniform across any cross-section. If the current density at the smaller end is 5.0×106 A/m25.0 \times 10^6\ \text{A/m}^2, what is the current density at the larger end?

A

1.67 × 10⁶ A/m²

B

1.11 × 10⁶ A/m²

C

5.0 × 10⁶ A/m²

D

5.56 × 10⁵ A/m²

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