Discussion
The noise power available from a resistor is ______, and it is independent of the resistance value.
Answer: B
The available power is \( kTB \), with no resistance in it, while \( 4kTBR \) is the mean-square open-circuit voltage and does depend on resistance. \( 2qIB \) is the shot noise density times bandwidth. And dividing by bandwidth inverts the dependence that makes noise power grow with the band admitted. The pair of expressions is worth holding together: the same physics stated as a power delivered to a matched load and as a voltage across an open circuit, which is why one carries \( R \) and the other does not.
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