Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  What is the intrinsic electrons concentration... Start Learning for Free
What is the intrinsic electrons concentration at T=300K in Silicon?
  • a)
    1.5*1010cm-3
  • b)
    1.5*10-10cm-3
  • c)
    2.5*1019cm-3
  • d)
    2.5*10-19cm-3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the intrinsic electrons concentration at T=300K in Silicon?a)1...
 Using the formula,

We get, ni=1.5*1010cm-3.
View all questions of this test
Most Upvoted Answer
What is the intrinsic electrons concentration at T=300K in Silicon?a)1...
Intrinsic electron concentration is a fundamental property of a semiconductor material, which represents the number of electrons in the conduction band at thermal equilibrium. It is denoted by "ni" and depends on the temperature of the material.

The intrinsic electron concentration in silicon at a given temperature can be calculated using the expression:

ni = Nc * Nv * exp(-Eg / (2 * k * T))

Where:
- Nc is the effective density of states in the conduction band
- Nv is the effective density of states in the valence band
- Eg is the energy gap between the valence band and the conduction band
- k is the Boltzmann constant
- T is the temperature in Kelvin

Let's calculate the intrinsic electron concentration in silicon at T=300K using the given options:

a) 1.5 * 10^10 cm^-3
b) 1.5 * 10^-10 cm^-3
c) 2.5 * 10^19 cm^-3
d) 2.5 * 10^-19 cm^-3

Calculation:
Given T = 300K

We know that Nc = 2 * (2πm*k*T / h^2)^(3/2) and Nv = 2 * (2πm*k*T / h^2)^(3/2), where m is the effective mass of electrons and h is the Planck's constant.

The energy gap for silicon is Eg = 1.12 eV

Substituting these values into the equation, we get:

ni = (2 * (2πm*k*T / h^2)^(3/2)) * (2 * (2πm*k*T / h^2)^(3/2)) * exp(-1.12 / (2 * k * T))

Simplifying this expression, we find:

ni ≈ 1.5 * 10^10 cm^-3

Therefore, the correct answer is option 'A' (1.5 * 10^10 cm^-3).

Explanation:
- Intrinsic electron concentration is the number of electrons in the conduction band at thermal equilibrium.
- It is calculated using the expression ni = Nc * Nv * exp(-Eg / (2 * k * T)).
- The values of Nc, Nv, Eg, k, and T are substituted into the equation to calculate ni.
- The correct answer is option 'A' (1.5 * 10^10 cm^-3) as it matches the calculated value.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer?
Question Description
What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer?.
Solutions for What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer?, a detailed solution for What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice What is the intrinsic electrons concentration at T=300K in Silicon?a)1.5*1010cm-3b)1.5*10-10cm-3c)2.5*1019cm-3d)2.5*10-19cm-3Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev