Path for a child to learn electrical engineering
This question may be off-topic but I'll take a stab anyways.

I wish I had Lego Mindstorms when I was a kid: 
http://mindstorms.lego.com/en-us/Default.aspx

The ease of construction with lego and pre-fabricated parts will definitely suit a child - at that age they may not have the manual dexterity to build their own projects using tools like wire strippers or a soldering iron.  Mindstorms also has a programming element to it, using a version of LabView - these days, I believe programming is an essential part to learning electronics/electrical engineering.  Others may disagree with me on that point but I think it's a good thing to learn anyways as it teaches how to think logically.

After this, your child may decide to move in to different directions, either lower level (how things like transistors and motors work) or higher level (more interested in programming and control).  Moving to a platform like the arduino and building things from scratch would be an interesting next step.

EDIT: 
Lego Mindstorms recommended ages: 10-up, so this may not be suitable for a 7-year old.