(a) Solve the Drude equation for an electron in a metal sample that is in a...

(a) Solve the Drude equation for an electron in a metal sample that is in a constant electric field E₀. Leave the integration constants unknown.

(b) Suppose that at the time t₀ = 0 we disconnected the electric field. What is the dependence of drift velocity on time?

(c) What is the solution for the drift velocity v_d in part (a) for t >> τ? Suppose that the drift velocities of all electrons are equal to what is the current density j = −env_d? Derive Ohm's law and DC electrical conductivity from this relation.

The result:

(b) vd=p0/m x e-t/τ

Solutions

Expert Solution

Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Why can the Drude equation not be applied in the range of wavelengths near maximum absorbance?

Will the physical quantities calculated using the Drude or Drude-Sommerfeld model be isotropic or anisotropic in...

Will the physical quantities calculated using the Drude or Drude-Sommerfeld model be isotropic or anisotropic in nature? Explain your answer.

Solve polynomial equation.

Solve the mathematical equation (3x+1)^(3/2) - 24 = 40.

1- An electron moving in a metal nanowire is a reasonable approximation of a particle in...

1- An electron moving in a metal nanowire is a reasonable approximation of a particle in a one-dimensional infinite well. Suppose the electron is in a wire 10nm long. (a) Compute the ground-state energy for the electron. (b) The electron moves freely inside in metal nanowire. Find the electron’s velocity in ground state. c) If the electron’s energy is equal to 10 eV, what is the electron’s quantum number n? 2- Briefly explain the differences between quantum and classical thermodynamical...

There are three dominant metal additive manufacturing approaches: laser powder sintering, plasma metal wire, and electron...

There are three dominant metal additive manufacturing approaches: laser powder sintering, plasma metal wire, and electron beam metal wire. Construct a table that compares the three with respect to: breadth of materials that can be processed, quality of processed material, and scalability.

Solve the 4 degree polynomial equation.

Solve the 4 degree polynomial equation \( x^4 − 2x^3 + 4x^2+ 6x − 21 = 0 \), given that the sum of two its roots is zero.

solve the differential equation a) ? ′′ − ? ′ = 1 1 + ? −?...

solve the differential equation a) ? ′′ − ? ′ = 1 1 + ? −? b) ? ′′ + 3? ′ + 2? = cos(?x ) c) 10) ? ′′ − 2? ′ + ? = exsqrtx

What is the maximum velocity of an electron emitted from the surface of a metal whose...

What is the maximum velocity of an electron emitted from the surface of a metal whose work function is 5 eV, if the metal is illuminated by light of wavelength is 200 nm?

A conduction electron is confined to a metal wire of length 13.2 cm. By treating the...

A conduction electron is confined to a metal wire of length 13.2 cm. By treating the conduction electron as a particle confined to a one-dimensional box of the same length, find the energy spacing between the ground state and the first excited state. Give your answer in eV.

a- Consider an electron that moves freely in metal and a particle moves freely in vacuum....

a- Consider an electron that moves freely in metal and a particle moves freely in vacuum. Briefly explain differences between the energy of these particles. b- Briefly explain the temperature dependent conductivity of metal, semiconductor and insulator. (Please write your answer by asking your self “How and Why change” questions )

Subjects