Hi Suraj Raj.

With a rank of 4475 and no reservation, you can get admission for CE at the following colleges.

Darbhanga CoE, Darbhanga

Purnea CoE, Purnea

Shersha CoE, Sasaram

Motihari CoE, Motihari

Katihar CoE, Katihar

Supaul CoE, Supaul

Sitamarhi Institute of technology, Sitamarhi

BP Mandal CoE, Madhepura

etc. These are some of the govt. colleges where you can get CE. For the full list, to check about your chances in a specific college, please use the college predictor tool.

https://engineering.careers360.com/bcece-college-predictor

Good Luck.