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A resistor obeys Ohm's law (\$\small V=I\cdot R\$); the current through it is equal to the voltage across it divided by the resistance (equivalently \$I=\frac{V}{R}\$).
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Johnson noise potential divider
A quick question: If I have a potential divider with two 10kΩ resistors, is the noise that you would measure between the two resistors simply the the Johnson noise of a 20kΩ resistor? … On a similar note, if I have two 10kΩ resistors joined together in series, and measure the noise across just one of them, i.e. the second resistor is unconnected at one end, is the noise just the Johnson …