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American University of Middle East Class Assignment W8

__Question 1 [10%]__

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

𝑁_{𝐷 }= 3 × 10^{17} cm^{−3} and 𝑁_{𝐴 }= 2 × 10^{14} cm^{−3}

- [1%] Determine whether this semiconductor is n-type, or p-type.
- [2%] Draw a detailed energy band diagram for this semiconductor with showing the following:
- 𝐸
_{𝐶},𝑗𝑢𝑠𝑡 𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛 - 𝐸
_{𝑉},𝑗𝑢𝑠𝑡 𝑙𝑜𝑐𝑎𝑡𝑖𝑜𝑛 - 𝐸
_{𝑔}, 𝑠ℎ𝑜𝑤 𝑖𝑡𝑠 𝑣𝑎𝑙𝑢𝑒 - 𝐸
_{𝑖} - 𝐸
_{𝐹}

- 𝐸
- [1%] Calculate the total number of free electrons?
- [1%] Calculate the total number of holes?
- [1%] which carriers are considered as majority carriers and which carriers are considered as minority carriers?
- [1%] Calculate 𝐸
_{𝐹 }− 𝐸_{𝐶}𝑖𝑛 𝐽𝑜𝑢𝑙𝑒 𝑎𝑛𝑑 𝑖𝑛 𝑒𝑉 - [1%] Calculate 𝐸
_{𝐹 }− 𝐸_{𝑉}𝑖𝑛 𝐽𝑜𝑢𝑙𝑒 𝑎𝑛𝑑 𝑖𝑛 𝑒𝑉 - [1%] Calculate 𝐸
_{𝐹 }− 𝐸_{𝑖}𝑖𝑛 𝐽𝑜𝑢𝑙𝑒 𝑎𝑛𝑑 𝑖𝑛 𝑒𝑉 - [1%] if 𝑁
_{𝐷 }= 𝑁_{𝐴 }= 3 × 10^{17}𝑐𝑚^{−3}, is this semiconductor extrinsic? Why?

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