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Problem 4: Non-Uniformly Doped Semiconductor A silicon sample maintained at 300K is characterized by the energy band-diagram below: a) Do equilibrium conditions prevail? How do you know? b) Sketch the electrostatic potential V(x) inside the semiconductor as a function of x. c) Sketch the electric field ?(x) inside the semiconductor as a function of x. d) Suppose the carrier pictured in the diagram moves between x = 0 and x = L without changing its total energy. Sketch the kinetic energy and potential energy of the carrier as a function of x. e) Roughly sketch n and p versus x f) On the same set of coordinates, make a rough sketch of the electron drift-current density and the electron diffusion current density as a function of position. For each drawing, briefly explain how you arrived at your sketch.

          Problem 4: Non-Uniformly Doped Semiconductor
A silicon sample maintained at 300K is characterized by the energy band-diagram below:
a) Do equilibrium conditions prevail? How do you know?
b) Sketch the electrostatic potential V(x) inside the semiconductor as a function of x.
c) Sketch the electric field ?(x) inside the semiconductor as a function of x.
d) Suppose the carrier pictured in the diagram moves between x = 0 and x = L without changing its total energy. Sketch the kinetic energy and potential energy of the carrier as a function of x.
e) Roughly sketch n and p versus x
f) On the same set of coordinates, make a rough sketch of the electron drift-current density and the electron diffusion current density as a function of position. For each drawing, briefly explain how you arrived at your sketch.

Problem 4: Non-Uniformly Doped Semiconductor
A silicon sample maintained at 300K is characterized by the energy band-diagram below:
a) Do equilibrium conditions prevail? How do you know?
b) Sketch the electrostatic potential V(x) inside the semiconductor as a function of x.
c) Sketch the electric field ?(x) inside the semiconductor as a function of x.
d) Suppose the carrier pictured in the diagram moves between x = 0 and x = L without changing its total energy. Sketch the kinetic energy and potential energy of the carrier as a function of x.
e) Roughly sketch n and p versus x
f) On the same set of coordinates, make a rough sketch of the electron drift-current density and the electron diffusion current density as a function of position. For each drawing, briefly explain how you arrived at your sketch.

Added by Christine E.

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