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Ecen 370

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Published in: Electrical | Electronics
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Worksheet for Ecen 370 Second Exam

Hamida S / Doha

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Qualification: Bachelor in Electrical Engineering

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  1. 3. In class we wrote down the formula describing the discrete binding energies of a hydrogen atom. a) Write down the energy needed to ionize (n= infinity) the atom from its lowest energy level. b) Suppose photon of wavelength Å is incident on the hydrogen atom, calculate the wavelength (in nanometer) Of light needed to move the electron from the level to the c) Suppose the electron at na level drops back •e level by light emission, what is the wavelength (in nanometer) Of light emitted. e Ox 10 d.'2Xlö XUlo 3.4—-3. ' lo-) 9
  2. c) Suppose the electron atn=2 level drops back level by light emission, what is the wavelength (in nanometer) Of light emitted. -IEÄÄEnE 6. Assume T = 0 0K an—e. Derive an expression for the total hole density p (which is Nh used in the lecture notes) in terms of A and Ch. Hint: •e property of the Fermi-Dirac distribution atT=OOK. EGE5)/k _E—E5
  3. ? ? ? ? ? ? ? ? ? ? ? -2 ? ? ? ? ? ? ? ( ? ? ? ? ? E ? 7 ? 2 ? ( ? ? ? ? 0 ? -CE-Ec)
  4. _ (E5-EF rt vRekT NCNv e T 7. Assume theelectr6öånd hole effective mass for silicon is 0.58meand 1.06me respectively, and the bandgap is 1.11 eV. Ata temperature of-202-degree K, calculate the values of the effective densi of state NC and NV. Also calculate the value Of the intrin •c carrier density n'. If a bandgap Of 1.125 ev is used, what would be the value Of ni? Express the results in cm 3 -31 zrvyoS8X9.llxJo "-T
  5. 1b 3 59 X (o cr.' 8. Calculate the electron density Ne if the Fermi-ene Efis exactl at the conduction band- ed e ng the result in problem 7. Calculate the electron density Ne if Ef is below the conduction band-edge by 5kT (T=293S8tf as in Problem 7). Calculate the hole density Nh for a 1.125 ev bandgap using the intrinsic carrier density cal lated in problem 7. Express the results in cm- zS 3 ii) Ep=E5SkT
  6. ?? ( ? ??? « ??? ? ? - ????. ??? ??? ?????? ?? 02?(? ???? ??? (2 -?. ? ??3" M? ???( ??? ???? 3 ? %- «? / ? ? «i
  7. M10

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