How to wire a relay for normally closed

Hey guys I know a typical automotive relay works in the way that if there is current in one circuit it will switch annother circuit so current will flow through that one. Is there a way to wire the relay so that there is current normally flowing through the circuit that is getting switched, and once it swicthed (as in the controlling circuit is flowing), then it (the circuit that gets switched) gets switched off? Sorry the above may have been confusing

most of the relays come with N/O Normaly Open and N/C Normaly Close just what you looking for, heres a sample pic how to connect it. and read this hope it helps. Shaking The Neighborhood