Electrical engineering students fairly easy find their first job because most employers in electrical field search for fresh mind, with fresh knowledge and at the same time they get young people they can mold to their own specific needs and make experts out of them.
Working as electrical engineer opens you lots of opportunities in other countries. Laws of math, electricity and physics are universal and your gained knowledge doesn't limit you to only the country you studied in. There are a lot of international companies that need electrical engineers, also most of them are willing to employ people form other countries, and most of them operate on international level that offers you additional options of traveling while working. Besides, you are usually getting payed well for it!
Most European universities demand students of electrical engineering to get short praxis with companies before they graduate and usually, if you perform well you can extend your praxis into employment after graduation. The employer already knows you already, they know your skills and work ethics and also they usually start to mold you in their "specific needs" profile during your praxis.
Thinking that electrical engineering is just one dimensional is wrong. The range of knowledge gained during studies is amazingly broad and versatile. Even just basic studies gives you wide range of skills - from programming to writing reports; lets face it, reports are required on every step of electrical engineering studies and every employer will demand writing reports on different fields you work on. Even though you are studying a specific part of electrical engineering you will get basics of almost all aspects of electrical engineering and it shouldn't be a big problem to find solutions to a problem that is not strictly in your specific field of expertise.
Modern world is run by computers. Most of the people use it on regular basis, but some still struggle with some operations that demand knowledge, that goes just a little bit beyond "Click an icon". Electrical engineers are faced with computer problems on every step of their studies and also every day on a job, that's why we usually gain computer skills during studies, when we have to install different programs for our studies, run analysis and tweak components or electrical circuits. Computers become parts of us and we know that hitting them won't make them run faster but fixing might...
Maybe adrenaline isn't first thing that pops in your mind when you think about electrical engineering, but trust me there will be a lot of adrenaline rush moments if you get in electrical engineering. Occasional jolts of electrical charge that hits you when you aren't paying attention and touch the leads of charged capacitor or when you connect 2 wires that you shouldn't or an electrical component more or less explodes in front of your eyes because you connected it on the testing board in the wrong way... Those events make you jump out of your chair and definitely raise your adrenaline level. On the other hand you won't most likely do the same mistake again!
DIY or "Do It Yourself" is one of more exciting reasons why to get in electrical engineering. When you know how stuff works, what usually malfunction and what are basic rules of electrical engineering you can make your own stuff that usually you need to search for and buy. It's not always cheaper, although some solutions will save you great deal of money, but it works as you want it to work and it's your own creation what gives it additional value and also nice reference in your CV if you are applying for a job. DIY creations are unlimited. You can build a 1 sensor that would cost you 10 in a store or a computer controlled cutter that costs 1000 but you just spent 200 building it.
Not only everyday fixes, like changing a burned out light bulb or faulty fuse aren't scary moments any more - you might also be able to cope with more complex problems with your computer etc. That doesn't only save you money but also works great as a pick up line...
Electrical and electronic components are modified, invented and reinvented every day, so you will never be bored because you are using same process or component for the last 10 years. New and exciting stuff is available all the time and you will have lots of fun testing an assembling it.