As computers get more powerful, artificial intelligence will naturally become more powerful as well. The additional processing power made available by faster computers will work in conjunction with progressively more sophisticated algorithms and programs so that AI becomes more and more human-like.
Of course, there is no telling when this will happen. One influential futurist, Ray Kurzweil, believes that based on his study of exponential increases in technology, we may see a true AI as early as 2029.