Accordingly to me, once you complete your B.Tech in EEE then you should apply for Gate as this will give you dual benefit if you clear it wth decent score like you can either go for M.Tech/M.E or you can get recruited in PSUs on the basis of Gate score. Also, if you want to go for job after finishing your undergrad then you can get appointed as -

Control and instrumentation engineer

Electrical engineer

Broadcast engineer

Manufacturing systems engineer

Systems analyst

Electronics engineer

IT consultant

Systems developer

Network engineer

Note : So you have many options opened in front of you, kindly choose the one as per your interest and potential. Also, if you want to know more about Gate then you can go through the below link -

Gate 2018

Hope this helps!!!

For EEE students there are wide scope in both sectors i.e private as well as government but its important to have clear technical knowledge of your subjects along with good communication skills.

The are lots of reputed organizations where you can apply such as;
Indian Railways,
ISRO,
Indian Oil Corporation
Defense Services
Indian Oil Corporation
National Thermal Power Corporation, (NTPC) etc.

All the Best!!