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27. Resistors & DC Circuits - Part 1 of 2

27. Resistors & DC Circuits / Intro to Current / Problem 1

A power transmission cable made of copper consists of three segments with varying radii. Segments A and C have the same radius of 5.0 cm and are thrice that of segment B as shown below. The current passing through segment A is 1000 A. Calculate the current density J in each of these three segments.

A

J_A = 1.3 × 10⁵ A/m², J_B = 1.1 × 10⁶ A/m², J_C = 1.3 × 10⁵ A/m²

B

J_A = 1.3 × 10⁵ A/m², J_B = 1.3 × 10⁶ A/m², J_C = 3.3 × 10⁵ A/m²

C

J_A = 1.3 × 10⁵ A/m², J_B = 1.1 × 10⁶ A/m², J_C = 1.3 × 10⁶ A/m²

D

J_A = 1.3 × 10⁵ A/m², J_B = 1.3 × 10⁶ A/m², J_C = 3.3 × 10⁶ A/m²

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