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The electric field \(E\), current density \(J\), and conductivity \(\sigma\) of a conductor are related as
- \(J = \sigma E\)
- \(E = \sigma J\)
- \(JE = \sigma\)
- \(\frac{1}{JE} = \sigma\)
Correct answer: \(J = \sigma E\)
Solution
The microscopic form of Ohm's law is \(\vec{J} = \sigma \vec{E}\). Here, conductivity \(\sigma\) measures how easily current flows in response to an electric field. So the correct relation is \(J = \sigma E\).
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