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Electricity and Magnetism

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Current Density Within a Cylindrical Conductor

EANDM-WO07BP

Suppose that we place 10 V across a conducting wire with a diameter of $d = 1.4$ mm, shown in the figure below. The wire has a resistance of $R = 250 \; \Omega$.

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What is the magnitude of the current density inside the wire?

A

$J = 6.5 \times 10^3$ A/m$^2$

B

$J = 2.6 \times 10^4$ A/m$^2$

C

$J = 2.6 \times 10^{-2}$ A/m$^2$

D

$J = 6.5 \times 10^{-3}$ A/m$^2$