I did get a chance to work on this a little bit last night. I got some new switches and did the same ohm-meter tests that I did with the other new switch. I connected one lead of the ohm-meter to the “+ LINE +” (the screw with a black coating on it) side of the switch and the other to one of the switch terminals on the other side (no label and it’s a bright brass colored screw). When I turn the switch on, it goes to 0 ohms, like it should. When I turn the switch off, it goes to infinity, but not right away, it gradually goes up and takes about 12 seconds to get to infinity. All of the new switches behaved the same way. So, I don’t think there is anything wrong with the switch, although there’s still the possibility that I have the wrong type of switch for my application. I called the company that makes the switch, Eagle Electric in NY, 800 441-3177 and talked to a guy named Nick and told him which switch I have, 271W-BOX Combination 2 Single Pole Switches. I told him what it did when I tested it with and ohm-meter and he said the switch was probably bad and to return it. So, he doesn’t really know what’s going on either!
I also did some double checking in the bathroom, with the original switch still in place. With the switch turned off, it reads 125V from the black wire to the metal box (ground) and 0V from the white wire to the metal box. With the switch turned on (light comes on), it reads 125V from the black wire to the metal box and 125V from the white wire to the metal box. With the switch turned off, it reads 125V from the black wire to the neutral side (longest slot) of the plug that’s in the bathroom (which is on a separate circuit) and 0V from the white wire to the neutral side of the plug. With the switch turned on, it reads 125V from the black wire to the neutral side of the plug and 125V from the white wire to the neutral side of the plug. So, it must be wired correctly. If the light was wired backwards, with the switch turned off I would have 125V from the white wire to the neutral side of the plug. Do you agree?
I also got a hold of my brother (who has been out of town in my time of need!). He build and wired his house with the help of his father-in-law who is an electrician. My brother is also stumped.