Originally posted by catnine
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Back when there was only DC, Smart Guys figured out from nothing that the amount of heating was proportional to the voltage times the current. Later, other Smart Guys figured out how to generate sine waves by spinning a loop of wire in a magnetic field. This was found to heat things up just like DC from batteries did, but the amount of heating was no longer voltage times current, because it was always changing.
Some of the math Smart Guys figured out that if you took the voltage times the current in tiny slices of time, slices so small that the voltage and current didn't really change much during that time, and then added up all those tiny power-time slices, you'd arrive at an average over time of the actual heating that would be the same as some DC current/voltage. A lot of (manual!!) math let to the idea that the equivalent of a DC current could be computed for a sine wave current by taking the square of the incremental current (one increment being a time slice, and power being proportional to I-squared times R) for a lot of time slices, averaging all those current-squared intervals, then taking the square root, you'd come up with a number which was the same number as a DC current which heated a resistor an equal amount to the AC current. That is, you took the square ROOT of the MEAN (i.e. average) SQUARE of the AC current, and got an equal heating.
Back at the rectifiers and fuses. The RMS value of any waveform can be computed with a little care and calculus. Fuses blow because of heating. A fuse which blows at, for example, 1.037A of DC will blow at 1.037A of AC **RMS* current too. Same heating ability.
So can a fuse blow more easily on DC than on AC? To a first order, no. They heat the same (yes, there are lots of caveats hidden there). But what can happen in rectifier circuits is that the rectifiers divert currents around. A full wave rectified AC waveform has the same RMS value as the AC waveform. But it does not have the same average DC value. And two half-wave rectified AC waveforms don't have the same RMS value as a full wave rectified waveform. So a fuse will blow very nearly the same on DC as an equivalent AC RMS current. But you do have to be careful to know what the RMS value is you're talking about. Comparing apples to apples can require some work.
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