Root mean square value of the shot noise current in is given by the Schotty formula:
In=2IqΔB\sqrt{2\Iota{q}\Delta\Beta}2IqΔB
Where:
I\IotaI =Dc current in Amperes
q= charge of an electron in Coulombs
Δ\DeltaΔB\BetaB = the bandwidth in Hertz
Substituting
In= 2×0.5×10−3×1.602×10−19×10×103\sqrt{2×0.5×10^{-3}×1.602×10^{-19}×10×10^3}2×0.5×10−3×1.602×10−19×10×103
In =1.266×10−9A×10^{-9}A×10−9A
=1.266nA
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