I think you mean capacitors instead of resistors. But, the purpose of the grounding strap is to keep you from shocking your computer (static electricity). Not, to keep computer from shocking you. If are grounding yourself to your house or other, ground your case to the same. An old power cord with the two flat blades removed works good. Your computer can hold a charge of static electricity. If you (wearing ground strap) are the nearest/best ground path then zap. I would ground case then hook ground strap to case via alligator clip attached to end of strap's wire.
BTW wearing ground strap on wrist when you think you are at risk of electrocution is dangerous. If you get zapped on the hand that has ground strap it will ensure your hand is cooked "well done", but, it could save your life. If you get zapped on opposite hand, strap will ensure all current goes straight thru your chest. If you think there is any possibility of shock when working on something, best to be as insulated as possible (not grounded). Touch first with back of hand, because muscle contractions caused by electrocution will pull your hand away. Electricians working on high tension wires while powered up actually connect lead to wire and charge themselves to same voltage as wire they are working on.