There is no practical way to transmit significant amounts of power (to charge a battery or run a PDA, for example) over more than 1/4" or so, basically direct contact where the distance between coils is << than the cross-sectional size of the coil. Basically means "must be in physical contact with magnetic charging pad, even though there are no contacts". This is of limited usefulness.
RFID transponders transmit enough power to turn on a battery-less RFID tag. That can work over a few inches at most, in some extreme cases with highly specialized, very directional antennas in controlled conditions, they got like 20ft. The whole idea depends on the RFID tag needing phenomenally low power to respond. It cannot be scaled up to power anything bigger.
Tesla coils can "transmit power" to weakly light fluorescent tubes some distance away. The process is very, very inefficient and produces RF levels capable of causing interference (or damage, actually) to electronics a great distance away. The RF levels are also probably not even safe for human-occupied space, not according to long-term exposure criteria.
There is a case for DIRECTED microwaves being focused on a microwave receiver. The idea is being explored for airborne drones and even beaming power from an orbital solar array down to earth. The field is not only highly specialized, but AFAIK it's still very limited range and inefficient. There is no way to make a demonstration project on this without being an advanced microwave engineer.
The idea of powering a laptop, PDA, or light bulb anywhere in the room with a wireless power transmitter nearby is simply not possible. The RF level needed would be harmful to the occupant, and the power requirements to obtain that much RF is absurdly high.