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by tbrownaw 4759 days ago
The important part is its pretty easy, right outta ohms law and the def of what capacitance is, power is directly proportional to frequency.

There's also the fact that your transistors have a particular voltage that they switch state at, which means that they switch faster if you drive the gate/line capacitance with a higher voltage.

Which means that chips designed for lower frequencies can be designed to use lower voltages, which can save far more power than what would be directly proportional to the lower frequency.

1 comments

"which can save far more power"

yes, right out of the equation provided.

In "CS" terms that may be better understood on HN than "EE" terms, electrical power scales O(n squared) with voltage and O(n) with frequency.

If you really wanna get people riled up and talking you can roll out the old power "EE" stuff about maximum power transfer happening when source and sink impedance are the same, and you want to get the most bang for your buck so you'd like that, right, and a transistor gate being near infinite resistance would imply ... Or if you like to think about interconnects being signal to noise level limited, then an RF analysis about noise voltage across a resistor vs preamp noise figure vs current bias from a communications standpoint would imply... But it turns out in practice most of the time, the first mental model is by far the most effective way to look at it compared to these.