Why is it that for a transformer to have high current gain that R must be much smaller than omega*L? (Lecture 24 @ 29:45)

Question

anonymous · Answer

The induced magnetic flux is very much dependent on the current.
If the resistance is large then it will limit the current.  A large value for  R will be the limiting factor if it is bigger than the coil's inductive reactance. If the resistance is the wire itself on the secondary side then you really will have a problem delivering any power to a load. $$P = I^{2} * R$$  So anything that limits current will really cut into the power output