The relay datasheet should tell you what you need to know. For example this datasheet for the OMRON G5LE relay.
http://www.components.omron.com/components/we...6B03161CD86257538007424DB/$file/G5LE_0813.pdfFor the 12 volt, 450 mW *coil* the specs are:
rated current 33.3 mA
resistance 360 ohms
must operate voltage 75%
must release voltage 10%
max voltage 130% of rated voltage
These specs say do not exceed 15.6 volts and decrease the voltage to 1.2 volts to release the contacts.
Three of the *contact* ratings for a resistive load:
10 A at 120 VAC
8A at 30 VDC
Minimum load 100 mA at 5 V
The current rating higher at 120 VAC because contact arcing (during contact opening) extinguishes as the AC voltage crosses through zero. The minimum load is to prevent "dry switching" issues. With voltage and current that is too low the contacts can build up a resistive film over time. Sufficient voltage and current tends to reduce the build up of the resistive film.