I am a second year student studying electrical engineering at IIT. I want to pursue core electrical engineering. What are the different topics/languages I can learn?

There are many possibilities to do.Pick one that is based on your interests and then go ahead1.Strengthen your understanding of Electrical Machines.
The subject is the base of power system engineering and having a good understanding of it during the initial years is extremely useful.
Recommended Books
Electrical Machinery Written by P.S Bhimbra ( A simple book that is a comprehensive guide to the subject beautifully, spend lots of time with this book and attempt to make your understanding simple)
Alternating Current Machines by M.G Say (Another Gem.But you should begin studying this book only after you’re completely clear on your understanding .But be prepared to handle the complex mathematical treatments of the ideas)
This will help to build solid foundations that will be the basis for the difficult and challenging subjects in your subject i.e Power System.

2.Get familiar with the basics of signal processing.
Begin to read about a subject known as Signals and Systems. It’s the base of any course on signal processing, and an understanding of signal processing is an important asset.Completely mathematical , and highly rewarding.
Recommended Sources
Signals as well as Systems, by Simon Haykin and Barry Van Veen. (My personal favorite that helps develop concepts from start)
NPTEL Lecture series taught by Prof. S.C. Dutta Roy ,IITD( Find him on Youtube, his way of teaching is God-level)

3.You are able to learn the languages such as MATLAB, PSpice or AutoCAD.
They can be useful for simulation and analysis of circuits .And Electrical Engineers are expected to be skilled in at the very least the one.
There are a variety of online classes available that you can get information about them.

4.Brush the concepts from Analog Electronics and Digital Electronics
Use any Standard Text books for this. My personal recommendation is Milliman Halkias for Analog Electronics and Morris Mano for Digital Electronics.
You can then begin studying Microprocessors and microcontrollers.
Recommended Sources
Architecture of Microprocessors Programming, Applications, and more using the 198085-Ramesh S Gaonkar
-The 8088 and 8086 Microprocessors:Programming ,Interfacing,Software ,Hardware and interfacing
These two books will give you a fair accurate understanding of assembly programming languages.
Contrary to popular belief , microprocessors also fall under electrical engineering and do not fall solely under the category of electronics engineering.
The majority of Chip Manufacturing companies such as Intel, Nvdia, etc. are looking for Electrical Engineers for the position of Chip Design Engineer.

If you want to, after relearning your electronic concepts, instead of beginning with Microprocessors, you can begin studying the subject of Power Electronics.
Power Electronics is such a subject that can be used for a wide range of practical applications and is considered to be the most “in demand ” Electrical Engineering . It’s a bit complicated conceptually, but the effort put into it will be worthwhile.
Recommended Source
Power Electronics written by M.H Rashid (Fantastic Book).
The longest-running EE firm i.e General Electrics( founded by Thomas Alva Edision )specifically hire EE with an MS in Power Electronics

5.Internship or training at any reputable institution.

You can apply for a course of instruction with the Transmission -Distribution Company in your state . It will give you a wealth of practical experience . Visit the State Load Dispatch Centre and understand the many facets associated with Power Management.
You can also enroll in a training program at BHEL, DRDO and other similar institutions of repute


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