All Problems

Constant Magnetic Field, Magnetics

Problem 3.267

In Hall effect measurements in a sodium conductor the strength of a transverse field was found to be equal to \(E=5.0 \mu \mathrm{V} / \mathrm{cm}\) with a current density \(j=200 \mathrm{~A} / \mathrm{cm}^{2}\) and magnetic induction \(B=\) \(=1.00 \mathrm{~T} .\) Find the concentration of the conduction electrons and its ratio to the total number of atoms in the given conductor.

Reveal Answer
n=jB/eE=2.51028 m1;almost 1:1n=j B / e E=2.5 \cdot 10^{28} \mathrm{~m}^{-1} ; \text {almost } 1: 1