Problem on electromagnetic induction and Newtonian physics Please imagine a solenoidal toroid (i.e. a donut shaped inductor) powered by an AC voltage source. It creates a changing magnetic field which is confined to the interior of the toroid (i.e. within the coils). Because of the laws of electromagnetic induction, this changing magnetic field must in turn create a changing electric field in the space surrounding the inductor. The electric field lines surrounding the inductor will be of course somewhat similar to the magnetic field lines surrounding a current carrying ring, in that they are closed upon themselves (i.e. sourceless).
Now if we place a charged object (such as a sphere) in the "donut hole" region of the inductor, this object will be accelerated back and forth through the "donut hole" by the changing electric field created by induction.
So, the electric field created by induction acts on the charged sphere ($F = Eq$) but the electric field of the charged sphere has nothing to act on in return. I.E. It cannot act on the source of the inductively created electric field, because there is none.
My question is this: What prevents this situation from being a violation of Newton's 3rd law?
For example, what if we clamp the charged sphere to the inductor. It seems that the whole apparatus would oscillate back and forth. More importantly, what if we connect the charged sphere to an AC voltage source which causes the magnitude of the charge on the sphere to vary in phase with the strength of the inductively created electric field? Then it seems we have a reactionless propulsion situation. Since EM induction is such a well known area of electromagnetism, my assumption is that this must not be the case.
Can you help explain the reasons why? 
 A: Your assertion that 

if we place a charged object (such as a sphere) in the "donut hole" region of the inductor, this object will be accelerated back and forth through the "donut hole" by the changing electric field created by induction.

is completely incorrect. There is never any magnetic field outside the solenoid, which means that there is never any induced electric field in the 'donut hole' region. 
If you place the particle inside the inductor, then of course it will be accelerated by the EM field. In that case, it will produce magnetic forces in the solenoid, but more importantly, it will exchange energy and momentum with the EM field itself, in ways which have been thoroughly explored in other questions on this site. 
A: I do not have access to this paper which is, I think, at least related to your question:
Micronewton electromagnetic thruster by Charrier at Applied Physics Letters (2012)
abstract:
A low cost and light electromagnetic thruster, consisting in a disc rigidly attached with a coaxial coil, shows steady recoil by losing its linear momentum. The signal applied in the device is a square electric potential. A continuous thrust is observed on the center-of-mass in one single direction under electromagnetic excitation for various voltages and nominal high frequencies. At 1 kHz with 20 V amplitude, the recoil force reaches 4 μN (micronewton). The recoil is numerically quantified with induced electromotive and Lorentz forces. The presented device directly converts electric energy into kinetic energy.
mentioned here WP-Abraham Minkowski controversy as "claims that unidirectional thrust is produced by electromagnetic fields in dielectric materials"
Explanations on micronewton electromagnetic thruster by Charrier on youtube
If he is correct or not is questionable by now, imo - see WP-Reactionless drive and NASA.
Is it noise due to interaction with the ambient or the EM of Earth ? 
