Many colleges have Electrical Engineering as a discipline for the BTech four year degree programme. Some colleges have EEE or Electrical and Electronics Engineering as a discipline. But certain IITs like Bombay and Delhi have name Electrical Engineering instead of EEE. 

Please go through the detailed curriculum of any programme before taking admission in any college.

And to answer your question, Yes my college Maulana Azad National Institute Of Technology (NIT Bhopal) does offer core Electrical Engineering as a branch.