OK here's an update. First, thanks for the generous feedback.
It is the regulator that's getting hot, not the bridge.
I chucked the 25V cap and found a 470uf 63V cap in my box and put that in there (it does have the negative pin connected to ground - I will update schematic). I also found a .001k ceramic disc cap and placed it between pins 1 and 2 of the regulator.
I'm not sure what the value of a ".001k" cap is. I also have these:
104Z 50v, 102K 1kv, 103M KCK, 104k 1KV, and one that just says 331. I understand the 1kv = 1000 volts but I'm not sure what the values are. If elected president of the narcoleptic neophyte society, my first legislation would require manufacturers to print all values in microfarads so a .001uf cap would say ".001uf" on it.
I don't really have anything to measure oscillations. If I hit the lotto I will run straight to the Fluke dealer to pick up a $3500 Scopemeter. I'd love to get one of those and sign up to be a cadet at the Scopemeter academy. Then I could look at oscillations and zoom in and decode words in an RS232 data stream and be delighted beyond imagination.
Back on earth, I found a cement block power resistor in my box, a 10W
2.7 ohm. I put it in series between the bridge's positive DC output and the regulator. Surprisingly the cement resistor does not even get warm (but it obviously is not blown because the circuit powers up). I think I may have this wrong as I have seen a load resistor on some schematics that connects to ground. Should it go one end to the bridge and one end to ground or in series as I have it now?
The transformer is actually a 26v AC 300ma output and it feels OK to the touch with no appreciable increase in temperature.
My 7805 is in the TO-220 package and the heatsink is one of those small clip-on types. I cannot seem to locate a picture of this type. Something similar would be this:
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I do have some white thermal contact paste on it.
There is a reason I'm using a 24v AC transformer. Mainly it's because I don't want to run two power supplies and the item ultimately being powered via relay requires 24v AC. I have to be cautious as to how much I reveal of the entire circuit because -sooner or later it seems like someone always winds up saying "just go out and buy one off the shelf, Pokey, you idiot" and I'd like to make this work.
It would be nice if I had a way to measure the current being consumed but my cheap DMM does not have this function. I found these specs from the relay's data sheet:
Minimum Contact Load: 10mA @ 5VDC. Initial Contact Resistance: 100 milliohms max. @ 100mA, 6VDC.
Nominal Coil Power: Contact rating 3 = 200mW. Contact rating 10 = 450mW.
Throw in a friendly 2n2222, a midrange pic processor, and a max233 and you pretty much have it. I will try to work on a complete schematic with the crappy but free software that I have.
Speaking of DMM, why do I read 10V AC at the 5V DC regulator output? I thought the bridge and filter cap knocked off any AC.
The term "red hot" is misleading as the part does not actually glow. I will now reference it as "bitch hot" which should clear things up.
Also, this isn't "let's go spend $50 at digikey" to fix the problem. In my dreams, I order my $3500 Scopemeter from digikey and become a cadet. This is more like "let's see if Pokey can dig enough parts out of his junk box to make this relatively simple thing work reasonably".
BTW, the new reading after doing all of above is 170F at the heatsink tab so there has been an improvement, but still seems high. This is measured with a non contact thermal thermometer so accuracy is what it is.
I think I may have a 12V or 13V zener diode around. What about replacing two of the 1N4004s used in the bridge with two zeners? I think this would then reduce the voltage to the regulator.
Pokey.