Hello,
NIT Trichy is one of the top most colleges in India. It is the best NIT. EEE is one the core branches that has great demand in the society. With a degree in one of the most demanded branch of engineering from one of the finest institutes is pretty great. If you are able to get a seat in EEE at NIT Trichy, you can absolutely join there. 
To know more about the institute, go through the link below-
https://www.nitt.edu
Good Luck!