Let me start off by stating that I have no training in electronics.

I have a small battery powered RF remote. I am attaching a NO switch. When the switch closes, the remote transmits. When installed, the switch will likely be closed for several minutes. I only want the remote to transmit for about 2 seconds when it's closed.
I looked at time delay relays on Digikey and everything is too large and the cheapest--at $16--is more than I wanted to spend.

Is there some way to wire a capacitor to the switch to make it discontinuous after the capacitor is fully charged? Should also mention the remote uses a single 12V (number 23A) battery.

 

Put an electrolytic capacitor in series with the relay coil, it will then only stay on while the capacitor charges ie a couple of seconds

 

Perfectly valid answer. The only thing left is, "how much current". That will determine the size of the capacitor. A tiny 12V relay can use .03 amps. Dropout voltage is about 7 or 8 volts. At first glance, this comes out at about 10,000 uf.

http://www.bowdenshobbycircuits.info/rc.htm

Less than $2

http://www.mouser.com/ProductDetail...GAEpiMZZMsh%2b1woXyUXj1R4CWp5FCwtmRbktGlsGbU=

 

I must not have explained correctly: I looked at relays but do not actually have one, and am still not quite sure if I need one.

According to the transmitter's datasheet I'd need to drop it below 8V (ideally as close to 0 as possible).

Also due to my lack of electronics knowledge I don't know to use that calculator; all I know is the supply voltage and time.

 

According to the transmitters datasheet I'd need to drop it below 8V (ideally as close to 0 as possible).

What is this, "it" that you need to drop below 8 volts?

 

From what I see, maybe you are thinking the power supply needs to go below 8 volts to stop the chip. That just makes them go unreliable unless you take that voltage way below 8 volts, so the "as close to zero" is the right answer.

A good way would be to make /TE go high after 2 seconds.

are we on the right page with each other now?

 

This was the first idea, and it will work.

 

Now it looks more like this is the way.