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=5.0μV/cmE=5.0 \mu \mathrm{V} / \mathrm{cm} with a current density j=200 A/cm2j=200 \mathrm{~A} / \mathrm{cm}^{2} and magnetic induction B=B= =1.00 T.=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