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Current Electricity
Drift of Electrons and Current Density
1 question from 1 paper, each with its answer.
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Concepts tested
- current density from resistance and field
All Questions
2022 1 question
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A copper wire of length 10 m and radius $(10^{-2}/\sqrt{\pi})$ m has electrical resistance of $10\ \Omega$. The current density in the wire for an electric field strength of $10\ V/m$ is :Radius of wire $r = \frac{10^{-2}}{\sqrt{\pi}}$ m, so area $A = \pi r^2 = 10^{-4}\ m^2$ $j = \frac{i}{A} = \frac{V}{R}\cdot\frac{1}{A} = \frac{E\ell}{RA}$ $j = \frac{10 \times 10}{10 \times 10^{-4}} = 10^5\ A/m^2$
