The equilibrium electron concentration is given by the product of density of states and probability function,...

The equilibrium electron concentration is given by the product of density of states and probability function, n(E) = g_c(E)F(E)n(E)=gc(E)F(E) whereg_c(E)gc(E) and F(E)F(E) are the conduction band density of states and Fermi-Dirac probability function, respectively

Using the full expression of Fermi-Dirac function, calculate the energy relative to the conduction band edge, E-E_cE−Ec, at which the electron concentration becomes maximum. This semiconductor has a bandgap of 1.124 eV and the temperature is 300 K. Further assume that the Fermi level, E_FEF is located precisely at the middle of the bandgap, i.e. E_C - E_F = \frac{E_g}2EC−EF=2Eg

Expert Solution

Hey there Dear Respected student,I hope you're doing absolutely great, I'm too glad to answer such a nice question for you. I hope it helps you. I tried my best to provide you with a best quality answer for you . I tried to utilize my full time and knowledge for this question. Its quite easy and simple.. I believe that you will understand this in one read. Yes you can do this my dear . Please carefully go through answer till last word. And oh yes I appreciate your hunger of grabbing knowledge keep it always up like this.

So here is your answer :

Please Feel free to ask you doubts if any. Your suggestions are most welcomed.
Please appreciate my efforts and hardwork by upvote/thumbs up ? it will be really very helpful .
Thanks for your valuable time.
Thanks for choosing this platform. All the best for your future and career. Keep learning like this always. Stay safe stay healthy. Take a good care of yourself and family . Have a great life ahead

Thanks you so much :)

genius_generous answered 2 years ago

. The joint probability density function of X and Y is given by ?(?, ?) =...

. The joint probability density function of X and Y is given by ?(?, ?) = { ??^2? ?? 0 ≤ ? ≤ 2, 0 ≤ ?, ??? ? + ? ≤ 1 0 ??ℎ?????? (a) Determine the value of c. (b) Find the marginal probability density function of X and Y. (c) Compute ???(?, ?). (d) Compute ???(?^2 + ?). (e) Determine if X and Y are independent

Sketch density state function, Fermi-Dirac probability function, and areas representing electron and hole concentrations for the...

Sketch density state function, Fermi-Dirac probability function, and areas representing electron and hole concentrations for the case Ef below the intrinsic Fermi energy.

If the joint probability density function of the random variables X and Y is given by...

If the joint probability density function of the random variables X and Y is given by f(x, y) = (1/4)(x + 2y) for 0 < x < 2, 0 < y < 1, 0 elsewhere (a) Find the conditional density of Y given X = x, and use it to evaluate P (X + Y/2 ≥ 1 | X = 1/2) (b) Find the conditional mean and the conditional variance of Y given X = 1/2 (c) Find the variance...

39. The life in years of a certain automobile has a probability density function given by...

39. The life in years of a certain automobile has a probability density function given by ft0.20e0.20tfor t0. Find the probability that the life of this car isa) at most 10 yearsb) at least 10 yearsc) between 5 and 10 years

The probability density function of the continuous random variable X is given by fX (x) =...

The probability density function of the continuous random variable X is given by fX (x) = kx, (0 <= x <2) = k (4-x), (2 <= x <4) = 0, (otherwise) 1) Find the value of k 2)Find the mean of m 3)Find the Dispersion σ² 4)Find the value of Cumulative distribution function FX(x)

The probability density function of the random variable X is given by fX(x) = ax +...

The probability density function of the random variable X is given by fX(x) = ax + 2/9 if 1/2 ≤ x ≤ 3, and 0 otherwise. (a) Compute the value of a. (b) Let the random variable Y be defined as Y = [X], where [·] is the “round down” operator (that is, for example, [2.5] = 2, [−2.5] = −3, [−3] = −3). Find the probability mass function of Y . (Hint: For Y to take value k, what...

Suppose that the joint probability density function of ˜ (X, Y) is given by:´ f X,Y...

Suppose that the joint probability density function of ˜ (X, Y) is given by:´ f X,Y (x,y) = 4x/y3 I(0.1)(x), I (1, ∞)(y). Calculate a) P(1/2 < X < 3/4, 0 < Y ≤ 1/3). b) P(Y > 5). c) P(Y > X).

Given the cumulative distribution of an exponential random variable find: The probability density function Show that...

Given the cumulative distribution of an exponential random variable find: The probability density function Show that it is a valid probability function The moment generating function The Expected mean The variance

Given the cumulative distribution of a gamma random variable find: The probability density function Show that...

Given the cumulative distribution of a gamma random variable find: The probability density function Show that it is a valid probability function The moment generating function The Expected mean The variance

The joint probability density function (PDF) of two random variables (X,Y) is given by ???(?,?) =...

The joint probability density function (PDF) of two random variables (X,Y) is given by ???(?,?) = { 1, 0 ≤ ? ≤ 2,0 ≤ ? ≤ 1,2? ≤ ? 0, otherwise 1) Find the correlation coefficient ??? between the two random variables X and Y Find the probability P(Y>X/2). help please asap

Question