Homework in Solid state material

In summary, the problem states that the electron concentration in a region of silicon is linearly dependent on depth, with a concentration of 5x10^15 cm^-3 at the surface (x=0) and 10^15 cm^-3 at a depth of x=500nm. The vertical electron current density in this region is constant at Jn=100 A/cm^2. Assuming a constant mobility of 1250cm^2/Vs, the task is to calculate the electric field near x=500nm. The equation needed for this calculation is J_n = q D_n (dn/dx) + q μ_n E, where q is the elementary charge, D_n is the diffusion constant, and μ_n
  • #1
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Here is the problem:

The electron concentration in a region of silicon depends linearly on depth with concentration of 5x10^15 cm^-3 at surface (x=0) and 10^15 cm^-3 at depth of x=500nm. If the vertical electron current density in this region is constant at Jn=100 A/cm^2, calculate the electric field near x=500nm. assume that the mobility is constant at 1250cm^2/Vs.

If anyone can at least explain the meaning of each value written in the problem and the formula that can be used to solve this problem ..

Thank you...
 
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  • #2
No one know?
 
  • #3
The equation that you need is for the total electron current density (drift plus diffusion).

[tex]J_n = q D_n \frac{dn}{dx} + q \mu_n E [/tex]

q = 1.6E-19

D_n = (kT/q) u_n which is approx 0.026 u_n at room temperature.

Since you know J_n and dn/dx then E is the only unknown.
 

Related to Homework in Solid state material

1. What is the purpose of homework in solid state material?

Homework in solid state material serves several purposes, including reinforcing the concepts learned in class, developing critical thinking and problem-solving skills, and preparing students for exams and future research in the field.

2. How often should homework be assigned in a solid state material course?

The frequency of homework assignments in a solid state material course can vary, but it is typically recommended to have at least one assignment per week. This allows students to regularly practice and apply their knowledge, while also giving them enough time to complete the assignments.

3. Is it necessary to have a strong background in math to excel in solid state material homework?

While a strong foundation in math can be helpful, it is not always necessary to excel in solid state material homework. Many concepts in solid state material can be understood and solved using basic algebra and calculus. However, a strong understanding of mathematical concepts can definitely make the homework easier.

4. How can I check my answers for solid state material homework?

There are several methods for checking your answers for solid state material homework. One option is to compare your answers with a solution key provided by the instructor or textbook. Another option is to work with a study group and compare answers with your peers. Additionally, many online resources and forums offer solutions and explanations for solid state material homework problems.

5. How can I improve my performance on solid state material homework?

To improve your performance on solid state material homework, it is important to attend lectures, take thorough notes, and actively participate in class discussions. It is also helpful to practice regularly and seek help from the instructor or teaching assistants when needed. Additionally, reviewing the material regularly and seeking additional resources can also improve your understanding and performance on solid state material homework.

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