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# samp24 - n is replaced by the expression for n given on...

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SAMPLE PROBLEM (Class 24) Ans: As the hint says: E n EN E dE av = 1 0 ( ) . The limits on the integral are not given in the hint, but the integral should extend over the entire range of electron energies; at T = 0, that is from E = 0 to E = E F . Then, the limits and the expression for N 0 ( E ) can be substituted, and E n EN E dE n E m h E dE n m h E dE av E E E F F F = = = 1 1 8 2 1 8 2 0 0 3 2 3 12 0 3 2 3 3 2 0 ( ) / / / / π π This is an easy integral to carry out, but the constants are messy. This can be simplified if
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Unformatted text preview: n is replaced by the expression for n given on page 1046, just above equation 42-9. E n m h E dE m h E m h E dE E E dE E E E E E E av E F E F E av F E F F F F F F F = = ∫ = ∫ ∫ = =- = 1 8 2 1 8 2 2 3 8 2 3 2 3 2 2 5 3 2 2 5 3 5 3 2 3 3 2 3 2 3 3 2 3 2 3 3 2 3 2 3 2 3 2 5 2 3 2 5 2 / / / / / / / / / / / /...
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