Field generated by a moving charge

[yjoe61]

I was reading Feynman's Lecture on Physics, chapter 28, where he mentioned the formula for the electric field generated by a moving charge.

One thing I don't understand is that, if the charge moves at the speed of light towards the point of interest, then it moves at the same speed of the field it generates. Then wouldn't it generate infinite field along the path it moves, since the field will be a superposition of infinite number of fields?

 

[Meir Achuz]

The charge CANNOT move at the speed of light.

 

[yjoe61]

Thanks. That makes sense.