Consider solid metallic magnesium (Mg). It has a Fermi energy of 7.08eV and the electrons in it have a Fermi velocity of
Posted: Fri May 06, 2022 10:35 am
Consider solid metallic magnesium (Mg). It has a Fermi energy of
7.08eV and the electrons
in it have a Fermi velocity of 1.58 × 106 m/s. There are 8.61 ×
1028 electrons per m3 in solid
Mg that participate in electrical conduction, and it has an
electrical conductivity of 2.15 × 107
S/m ( = 2.15 × 107 Ω-1 m-1). (These values are for room
temperature.) You fashion a wire
out of Mg that is 10 m long and has a radius of 1 mm, and connect a
9 volt battery across it.
a) Determine the effective mass of an electron in solid Mg. Express
your answer in terms of
the mass of a free electron.
b) Determine the average time in between collisions as an electron
moves through the solid.
c) Determine the electron mobility of the electrons in the
wire.
7.08eV and the electrons
in it have a Fermi velocity of 1.58 × 106 m/s. There are 8.61 ×
1028 electrons per m3 in solid
Mg that participate in electrical conduction, and it has an
electrical conductivity of 2.15 × 107
S/m ( = 2.15 × 107 Ω-1 m-1). (These values are for room
temperature.) You fashion a wire
out of Mg that is 10 m long and has a radius of 1 mm, and connect a
9 volt battery across it.
a) Determine the effective mass of an electron in solid Mg. Express
your answer in terms of
the mass of a free electron.
b) Determine the average time in between collisions as an electron
moves through the solid.
c) Determine the electron mobility of the electrons in the
wire.