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- Consider a silicon P- N step junction diode with Nd = 1018 cm-3 and Na = 5 × 1015 cm-3 . Assume T=300K. Calculate the capacitance when it is under reverse biased at 1.5V. Assume a cross sectional area of 1um2. If you want to make the capacitance decrease by factor of 3 what should be the width of the depletion layer?A diode is doped with NA = 1018/cm3 on the p-type side and ND =1019/cm3 on the n-type side. (a)What is the depletion-layer width wdo? (b) What are the values of xp and xn? (c) What is the value of the built-inpotential of the junction?(d) What is the value of EMAX? Use Eq. E(x) = 1 /εs ∫ ρc(x) dxand as shown.For an ideal silicon p-n abrupt junction with NA = 1017 cm-3 and ND = 1015 cm-3(a)calculate Vbi at 250, 300, 350, 400, 450 and 500 K and plot Vbi versus T. (b) comment on your result in terms of energy band diagram. (c) find the depletion layer width and the maximum field at zero bias for T = 300 K
- Assume D = D0e^–Ea/kT is the diffusion coefficient of boron in silicon surface, whereD0 = 10.5 cm^2/s and Ea = 3.7 eV. The substrate is N-type silicon doped to 10^15 cm^3.N0 = 10^15 cm^2 of boron is introduced just below the silicon surface.(a) What is the junction depth after a 1-h drive-in at 1,100°C?(b) By how much will the junction depth change after 10^6 h (~100 years) of operation at100°CA sample of n-type silicon semiconductor has the following properties:Donor density Ndis 5x1019per cm3Mobility of electron is 1500 Mobility of hole is 500Electron charge q = 1.602x10-19coulombs.Intrinsic carrier density ni= 1.45x1010per cm3a)Find the density of holes and electrons in this sampleb)Find the conductivity of the given sample if the. c)What is the resistivity of the given sample?Given the schematic below, assume D1 and D2 are silicon with forward voltages of 0.7V. Find the following (with solutions) a) Conditions required wherein none of the diodes are conducting b) If both diodes are not conduction, what is Vo? Express in terms of Vi c) Plot the overall relationship of Vo and Vi in the coordinate system shown below. Remember, you are to plot the transfer characteristics of the circuit.
- 3. Consider a silicon with intrinsic carrier concentration ni of 1010 cm-3 at room temperature.It is then doped to p-type doping with a concentration of NA = 5x1017 cm-3. What is thelocation of the Fermi level relative to the conduction band? (Hint: NC = 2.8x1019 cm-3).Consider a pn junction diode at 300 K under forward applied bias 0.7 V. To design a diode with hole and electron current densities 5 A/cm2 and 2 A/cm2 respectively at the edges of space charge region, determine the donor concentration and acceptors concentration in n and p semiconductors of the pn junction. Dn Dp Tno Tpo 25 cm²/s 10 cm/s 5x107s 5x107 s 1.5x1010 cm 3Assume a cylindrical diode, half P doped and half N doped. If the diode diameter is 100um, calculate the following: a) Junction capacitance for no external bias and ND = 1E16 atoms/cm3 and NA = 1E16 atoms/cm3 b) Junction capacitance for no external bias and ND = 1E17 atoms/cm3 and NA = 1E15 atoms/cm3 c) Junction capacitance for a 10V reversed voltage and ND = 1E17 atoms/cm3 and NA = 1E15 atoms/cm3 d) Junction capacitance for a 0.3V forward voltage and 1E16 atoms/cm3 and NA = 1E16 atoms/cm3
- SEMICONDUCTOR DEVICES n-type silicon sample with a donor impurity concentration of 2x1015 cm–3 is converted into p-type by gallium (Ga) diffusion so that resistivity at T= 80 °C is (100/48) Ω.cm. µp (80 °C) =300 cm2/V.s, µn (80 °C) =900 cm2/V.s and ni (80 °C) = 3x1011 cm–3. Calculate the hole concentration after converting into p-type?Hall measurement is conducted on a silicon sample of unknown doping with W= 100cm, A = 2.5 × 10-3cm2, I = 2 mA and the magnetic field is 500 Gauss. If the Hall voltage of +150mV is measured, find the Hall coefficient, conductivity type, majority carrier concentration, resistivity and mobility of the semiconductor sample.The diode current in a p-n junction is modeled exponentially (given below.) When the p-n junction is polarized with 0.7V and 0.75V, the currents flowing through the diode are again measured on the basis of 1.36 mA and 7.20 mA. Accordingly, what is the ideality factor? (Note: Take the thermal voltage as mV)