In most states no matter if it is an agreed voluntary signing over the father will still have to pay child support until the child is officially adopted. I actually went through this with my ex and they told him until our daughter is adopted he will pay child support.
what is going to happen when i give up my right as a father? will i still have to pay child support?
Yes.
yup
Yes, a father can give up his parental rights but he still have to pay child support.
Yes, he does.
yes
If you relinquish your parental rights, you are still not going to get child support payments. The child support is for the child.
It's likely that the father will still owe support until/unless the child is adopted. see links
Yes
No, he doesn't.
NO, YOU HAVE NO RIGHTS OR OBLIGATIONS TO THE CHILD AFTER SIGNING AWAY PARENTAL RIGHTS
Termination of parental rights does not terminate one's child support obligation.