In the classic model for electrical conduction, electron mobility u in a metal wire is defined aswhere v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freelyelectrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to apotential difference.(a) Show thatwhere a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier.(Submit a file with a maximum size of 1 MB.)Choose File no file selectedThis answer has not been graded yet.(b) B = AVH is often written asAVH - RIBwhere R, is the Hall coefficient of the metal. Show that the following is true. (Submit a file with a maximum size of 1 MB.)Hyo -n(Choose File no file selectedThis answer has not been graded yet(c) The table below shows some measured values of Hall coefficients for some elemental materials. What is an average numberdensity (in m-3) of electrons in the first four elements?ElementRH (10-11 m/(A )Ag-8.0Al-3.5Au-7.2Cu-5.5Fe+11Sb+2000.11364E3 XTake the average of the first four values in the table, and use the relationship between q, n, and R to solve for a typical n.Note the Ry values given in the table should be multiplied by 10-11 (see the column header). m-3(d) What do you think might be going on with the last two elements in the table in part (c)? Offer an explanation for why thesenumbers differ so much from the first four elements in the table.This answer has not been graded yet.

The volume current density can be defined as J=nqvd ALso, J=σE

here v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely ectrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a tential difference. a) Show that ng where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier. (Submit a file with a maximum size of 1 MB.) Choose File no file selected Thir anrar

here v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely ectrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a tential difference. a) Show that ng where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier. (Submit a file with a maximum size of 1 MB.) Choose File no file selected Thir anrar