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EE 305 Semiconductor Devices Assignment

American University of Middle East
Class Assignment W8

Question 1 [10%]

Consider a silicon semiconductor at room temperature (𝑇 = 300 𝐾). Given that:

𝑁𝐷 = 3 × 1017 cm−3 and 𝑁𝐴 = 2 × 1014 cm−3

  1. [1%] Determine whether this semiconductor is n-type, or p-type.
  2. [2%] Draw a detailed energy band diagram for this semiconductor with showing the following:
    • 𝐸𝐶,𝑗𝑢𝑠𝑡 𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛
    • 𝐸𝑉,𝑗𝑢𝑠𝑡 𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛
    • 𝐸𝑔, 𝑠ℎ𝑜𝑤 𝑖𝑡𝑠 𝑣𝑎𝑙𝑢𝑒
    • 𝐸𝑖
    • 𝐸𝐹
  3. [1%] Calculate the total number of free electrons?
  4. [1%] Calculate the total number of holes?
  5. [1%] which carriers are considered as majority carriers and which carriers are considered as minority carriers?
  6. [1%] Calculate 𝐸𝐹 − 𝐸𝐶 𝑖𝑛 𝐽𝑜𝑢𝑙𝑒 𝑎𝑛𝑑 𝑖𝑛 𝑒𝑉
  7. [1%] Calculate 𝐸𝐹 − 𝐸𝑉 𝑖𝑛 𝐽𝑜𝑢𝑙𝑒 𝑎𝑛𝑑 𝑖𝑛 𝑒𝑉
  8. [1%] Calculate 𝐸𝐹 − 𝐸𝑖 𝑖𝑛 𝐽𝑜𝑢𝑙𝑒 𝑎𝑛𝑑 𝑖𝑛 𝑒𝑉
  9. [1%] if 𝑁𝐷 = 𝑁𝐴 = 3 × 1017 𝑐𝑚−3, is this semiconductor extrinsic? Why?

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