1. The electron charge carrier has the following concentration distribution ?(?) = 2? × 1016 1/cm^3, where x has the unit of cm. Plot n(x) for x=[0, 10]cm. (10 points)
2. find ??(?) / ?? of problem 1, and plot ??(?) / ?? for x=[0, 10]cm (10 points)
3. Given that the diffusion coefficient of the electron in this material is D=25 cm^2/s, find the current density ?????(x) for x=[0, 10] (10 points)
1. The electron charge carrier has the following concentration distribution ?(?) = 2? × 1016 1/cm^3,...
P5. The electron concentration in silicon at T 300°K is given by n (x) = 1016 exp (-x/18)/cm' where x is measured in um and is limited to 0 SxS 25 um (also 18 has a unit of um). The electron diffusion coefficient is D.-25 cm2/sec and the electron mobility is -960 cm2/V-sec. The total electron current density through the semiconductor is constant and equal to J- 40 A/cm2. The electron current has both diffusion and drift current components. Determine...
Problem 3 (25 points) Consider a silicon pn junction at T - 300 K, NA- 1016 cm3, ND-5x1016 cm-3. The minority carrier lifetimes are τα , τ,-1 us. The junction is forward biased with Va-0.5V The minority carrier diffusion coefficients are D 25 cm/s, Da- 10 cm2/s n,1.5x1010 cm3 kT 0.0267 Depletion region p-type n-type a) (5 points) Calculate the excess electron concentration as a function of x in the p-side (see the figure above) b) (10 points) Calculate the...
A silicon pn junction at T = 300 K has the following parameters: Na-5 1016 cm-?, N,-1 1016 cm-3, D.-25 cm3/s, D.-10 cm2/s, ?,0-5 x 10-7 s, and To 1 X 10-7 s. The cross-sectional area is A 10-3 cm2 and the forward- bias voltage is V,-0.625 V. Calculate the (a) minority electron diffusion cur- rent at the space charge edge, (b) minority hole diffusion current at the space charge edge, and (c) total current in the pn junction diode.
3. A silicon step junction has uniform impurity doping concentrations of N. 5 x 1015 cm-3 and Nd = 1 x 1015 cm-, and a cross-sectional area of A-|0-4 cm2. Let tao -0.4 s and tpo 0.1 us. Consider the geometry in Figure.Calculate (a) the ideal reverse saturation current due to holes, (b) the ideal reverse saturation current due to electrons, (c) the hole concentration at a, if V V and (d) the electron current at x = x" +...
Consider a silicon pn junction at T = 300 K, NA-Np - 4x106cm. The minority carrier lifetimes are tn = Tp=1 us. The junction is forward biased with V, -0.6V. The minority carrier diffusion coefficients are D = 20 cm²/s, D = 10 cm²/s. n;= 1.5x100cm, kt/e = 0.026V Depletion region n-type p-type a) (5 points) Do we have low-level injection? b) (10 points) Calculate the electron concentration at x = -(Xp + Ln) where L, is the electron diffusion...
Need help solving this questions. In problems 1-3, Assume n- 100 cm, E1 eV, 1000 cm-/V.s, g.-12, s,-8.85% 10-14 Fern, and KT4-26-my 250 cma/V.s, Problem 1 A silicon sampl equilibrium has electron concentration given asn -e0'x+2305, where x is distance. Determine the (a) position of the Fermi level with respect to the conduction band, Ee, at x-1-um, (b) electron diffusion current density at x-1- m, and (c) sample conductivity at x-0 Problem 2 Consider a silicon PN-junction with acceptor and...
Problem 4 (25 points) Consider a silicon pn junction at T-300 K, NA-ND- 1x101° cm3. The minority carrier lifetimes are τ n-0.01 μs and τ p-0.01 us. The junction is forwardbiased with Va 0.6V. The minority carrier diffusion coefficients are Dn-20 cm s, Dp 10 cm Is. n.-1.5x 1010 cm-3 Depletion region n-type p-type a) (10 points) Calculate the excess electron concentration as a function of x in the p side (see the figure above). b) (5 points) Calculate the...
Can someone help solve this question step by step? Thanks! Problem 4 (25 points) Consider a silicon pn junction at T-300 K, NA-ND- 1x101° cm3. The minority carrier lifetimes are τ n-0.01 μs and τ p-0.01 us. The junction is forwardbiased with Va 0.6V. The minority carrier diffusion coefficients are Dn-20 cm s, Dp 10 cm Is. n.-1.5x 1010 cm-3 Depletion region n-type p-type a) (10 points) Calculate the excess electron concentration as a function of x in the p...
Problem 2 (25 points) In a silicon semiconductor, excess carriers are being generated at x -0 as shown below. Assume NA 2x1015 cm3, N 0. The excess carrier concentration at x-0 is 1013 cm3 and the excess carrier concentration at x = Ln is 0 (Ln ls the electron diffusion length). lụs, are D,-25 cm2/s, D,-10 cm2/s. Assume the electric field is zero, ta T = 300K. ķT1e = 0.026V. tp Light NA 2x1015 cm3 a) (15 points) Write the...
Problem 4 (25 points) Consider a silicon pn junction at T-300 K, N,-1x1017 ст?, ND-11016 Cm -, The minority carrier lifetimes are τ u-^ 1 μs and τ p-1 μs. The minority carrier diffusion coefficients are Da-25 cm2/s, DR-10 cm2/s. n1-1.5x1010 cm -3 kT - 0.026V Low-level injection is defined to be when the minority carrier concentration at the edge of the space charge region becomes equal to one-tenth the majority carrier concentration. Determine the value of the voltage across...