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Question: The current density (number of free electrons per m³) in metallic conductor is of the order of...

The current density (number of free electrons per m³) in metallic conductor is of the order of

A

10^28

B

10^25

C

10^15

D

10^21

Answer

10^28

Explanation

Solution

The number density of free electrons in a metallic conductor (n) is calculated by dividing the mass density (ρ\rho) by the molar mass (M) and multiplying by Avogadro's number (NAN_A), assuming one free electron per atom. For copper, this calculation yields approximately 8.5×1028electrons/m38.5 \times 10^{28} \, \text{electrons/m}^3, which is of the order of 102810^{28}.