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Two capacitors and are charged to and , respectively. It is found that by connecting them together, the potential on each one can be made zero. Then,
(a)
(b)
(c)
(d)

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Question 1
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I really only need parts C and D. I'm not very MATLAB savvy, so this part is very difficult for me. Thank you. All the results (including the axes in the plots) should be accompanied by the appropriate units, according to the following guidelines: a) Energy must be expressed in electronvolts (eV). b) Potentials must be expressed in volts (V). c) Charge will be expressed in coulombs (C). d) Lengths must be expressed in microns (μm). e) Carrier densities must be expressed in inverse cubic centimeters (cm^-3). f) Masses will be expressed as a product of an adimensional parameter and the mass (m) of the electron. Results with no units are meaningless and will be awarded zero points. Show your work and add comments. Problem 1: An abrupt GaAs p-n diode has N_d = 1.510^16 cm^-3 and N_a = 10^17 cm^-3. GaAs has a bandgap energy of E_g = 1.43 eV, the electron effective mass is m_e = 0.067 m_0, and the hole effective mass is m_h = 0.45 m_0, where m_0 = 9.11 x 10^-31 kg. The device is unbiased and in thermodynamic equilibrium at temperature T = 300 K.
  1. Calculate the Fermi level positions (with respect to the valence band) at 300 K in the p and n regions in isolation (i.e. when they are not joined to form the p-n diode).
  2. Determine the built-in potential.
  3. Calculate and plot (using a software of your choice) the band diagram (conduction band, valence band, and Fermi level across the device) of the p-n junction at equilibrium under the full-depletion approximation. In this plot, you should indicate the edges of the depletion region.
  4. Calculate and plot (using a software of your choice) the electron and hole concentration in the device, as obtained from the band diagram calculated in part (c).
  5. Based on the results obtained in part (d), comment on the accuracy of the depletion approximation (as far as the carrier density is concerned).
  6. At what temperature does the built-in voltage decrease by 1%?
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Question Text
Two capacitors and are charged to and , respectively. It is found that by connecting them together, the potential on each one can be made zero. Then,
(a)
(b)
(c)
(d)
Updated OnFeb 16, 2024
TopicElectrostatic Potential and Capacitance
SubjectPhysics
ClassClass 12
Answer TypeText solution:1 Video solution: 10
Upvotes1048
Avg. Video Duration6 min