9.) You have a sample of intrinsic germanium (Ge) at room temperature which is a cube of side r = 0.1cm. The resistance of this sample is 450 . You would like to decrease the resistance to 0.45 2, (a) What concentration of donor atoms would need to be added to the sample to achieve this resistance? [Hint: the concentration of donor atoms will be much larger than ni, so the doped material will be strongly n-type]. You may assume the mobilities are the same as those given in table B4 of Neaman's book, and that all donor states are fully ionized at room temperature. (b) What fraction of germanium atoms will need to be replaced by a donor atom to achieve this resistance? (c) If you decided to add acceptor atoms instead of donor atoms, would your answer to part (a) change? If so, how?

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9.) You have a sample of intrinsic germanium (Ge) at room temperature which is a cube
of side r = 0.1cm. The resistance of this sample is 450 2. You would like to decrease
the resistance to 0.45 ,
(a) What concentration of donor atoms would need to be added to the sample to
achieve this resistance? [Hint: the concentration of donor atoms will be much
larger than n;, so the doped material will be strongly n-type]. You may assume
the mobilities are the same as those given in table B4 of Neaman's book, and that
all donor states are fully ionized at room temperature.
(b) What fraction of germanium atoms will need to be replaced by a donor atom to
achieve this resistance?
(c) If you decided to add acceptor atoms instead of donor atoms, would your answer
to part (a) change? If so, how?
Transcribed Image Text:9.) You have a sample of intrinsic germanium (Ge) at room temperature which is a cube of side r = 0.1cm. The resistance of this sample is 450 2. You would like to decrease the resistance to 0.45 , (a) What concentration of donor atoms would need to be added to the sample to achieve this resistance? [Hint: the concentration of donor atoms will be much larger than n;, so the doped material will be strongly n-type]. You may assume the mobilities are the same as those given in table B4 of Neaman's book, and that all donor states are fully ionized at room temperature. (b) What fraction of germanium atoms will need to be replaced by a donor atom to achieve this resistance? (c) If you decided to add acceptor atoms instead of donor atoms, would your answer to part (a) change? If so, how?
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