22.58 An infinite conductor wire produces an electric field of magnitude 1.23x10

Question

22.58 An infinite conductor wire produces an electric field of magnitude 1.23x10^3N / C at a distance of 50.0 cm perpendicular to the wire. The direction of the electric field is toward the wire. a) What is the load distribution? b) How many electrons per unit length are in the wire?

Un alambre conductor infinito produce un campo electrico de magnitud 1.23 middot 10^3 N/C a una distancia de 50.0 cm perpendicular al alambre. La direccion del campo electrico es hacia el alambre. a) Cual es la distribucion de carga? b) Cuantos electrones por unidad de longitud hay en el alambre?

Explanation / Answer

A) Electric fielddue to infinite wire = 2k lambda/r

1.23e3 = 2*9e9/0.50 lambda

Lambda = 1.23e3*0.50/(2*9e9)

=3.417*10^-8 C/m

B) Number of electrons per unit length = 3.417e-8/1.6e-19

= 2.1356*10^11 electrons per metre

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