utorrent doesn't work from my institute computers. Can I bypass this restriction through Tor to download torrent files? If yes, how?
You will probably be able to configure the µTorrent client to communicate over Tor but please do not do this.
There is already a very similar question: How can BitTorrent traffic be anonymized with Tor? which asks for a very similar thing but for achieving anonymity. There you can read that the BitTorrent transfer would be very slow and you will create really unnecessarily high load in the Tor network.
Instead of using Tor with multi-layered encryption and routing (onion-routing) you should use much simpler VPNs or proxies with which you will get much higher throughput without the strong negative effect on other users. Just put
BitTorrent VPN into a search engine to find some guidelines which are out of scope of this site.