The effects you will have on your students are infinite and currently unknown; you will possibly shape the way they proceed in their careers, the way they will vote, the way they will behave as partners and spouses, the way they will raise their kids.
Think of the jazz improv artist responding to the musical banter among her fellow players onstage. Aside from whatever training they've done in advance, as soon as the curtain opens, they move into unknown territory together, creating something new each time by remaining in a state of undivided presence.