 Solution

ID: past-exam-of-the-physics-a-course-of-the-university-of-cambridge/2016/paper-1/section-a/5/solution

For independent charge arrivals described by a Poisson distribution, the one-sided Shot noise current Power spectral density is

S_{I} = 2 e I

i_{rms} = 2 e I Δ f = 2 (1.6021766208 \times 1 0^{- 19}) (1 0^{- 9}) (1 0^{5}) = 5.66 \times 1 0^{- 12} A .

The expected rms noise is $5.66 pA$ , about

0.566%

of the mean current. This is the full Shot noise value with Fano factor one; correlations can suppress or enhance it. The elementary charge is from the external CODATA 2014 table.^[ref]

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