That depends on the warrant. For most traffic warrants, the issuing magistrate will allow us to cite-release you, or simply give you a new appearance date, and that will clear the warrant from the system. However, due to circumstances beyond our control, the magistrate may require bail, which you will have to post in the form of a bond, credit card or cash, to be released. Of course, if you are taken into custody, your warrant is automatically cleared.
Note that warrants are issued by the Court, and not us, and may be re-issued by the Court without notice or warning for a variety of reasons; the most common being "failure to appear" or "failure to pay."