Relay not Triggering on 24 VAC Furnace Circuit

I bought a RT424524 relay from mouser and inserted in into my thermostat>furnace 24 VAC line. When I did that, the furnace won't turn on. I am thinking the resistance of the relay is stopping the circuit. But I don't know. I used my multi-meter to bypass the relay and measure the current in the 24 VAC. When I did this, the furnace turned on, but the multi-meter showed 0 AC current after a instantaneous current reading. I don't know why it is reading 0 current.

So I started reading other ways of doing this and an optocoupler keeps coming up. One circuit I saw had a 3K ohm resistor in series with the optocoupler input. I don't know if this will work. If the ~300 ohm resistance of the relay is stopping the circuit, 3K doesn't sound better. I could go without a series resistor, but since I don't know the current, I don't know if I will fry it. If the current really is close to 0, won't the optocoupler stop that too?

Any ideas?

I appreciate any help.

I guess I must ask where are you putting the relay and what is your goal.

I inserted the coil of the relay into the thermostat line about 3 ft from the furnace. When I say I inserted it, I mean I cut the line and soldered the two ends of the wire to the coil pins. The contacts are connected to an arduino uno. I have the uno hooked up to two i2c temperature sensors, an i2c RTC and SD logger. I am trying to be able to read when the furnace is one. Everything is working fine (software too) except this relay.

Improper implementation.
The coil should be in parallel with the furnace circuit, not in series with it as you have done.

Thank you! That worked. I had to inverse my signal after I did that.