What will the effect of an unconditionally dropped misdemeanor have on my efforts to join the Air Force.?

When I was 19 and stupid, I was hanging out with the wrong people. I was charged with possession of paraphernalia. However, the citation the officer wrote was completely unfounded and the charge was dropped with little effort by a public defender. Now of course I will disclose this and other minor traffic violations to my recruiter and anyone at MEPS, but my question is how this will effect me. This is the only history of any run in with the law, I don't even have a speeding ticket.