As Robert says too many variables and unknowns.
Bob said ‘Now the only connection to the TV was the Ariel which has a mains amplifier about 6 meters away from the TV cabinet where the down lead enters the house. Unplugged the Ariel and hey presto, whistling stopped. Plugged it back in and no whistle! (No mains connected to the Tv and other equipment). Re-connected all mains equipment and still no whistle‘.
Although Bob disconnected everything obvious, there must still be a power source in the system, and it’s likely connected to the aerial. Maybe a pre-amp in the loft, or one (best) mounted on the antenna. Either way, another power supply, probably switch-mode , able to misbehave like flyback transformers and such as discussed above. Or, although unlikely, maybe the aerial coax is coupling to a power line, or a strong local transmitter. Nearby cell-phone or utility tower?
My guess is this was a double problem: a errant power source wandered to a frequency that coincided with a mechanical resonance inside the TV set. Like soldiers marching in step over a bridge, or a violin bow scraping a saw, something physical in the TV set vibrates like a primitive loudspeaker. Resonant structures store energy, so tiny inputs can build up a dangerous physical movement.
In Bill’s example, could be anything: transformers, chokes, and even some capacitors are piezoelectric. When resonance occurs, the physical and electromagnetic source couple and lock the frequency. Precision oscillators are often based on piezoelectric quartz crystals, cut to a particular size and shape to resonate accurately and strongly at a design frequency. Then the electronics lock to this frequency because it takes less energy to vibrate in resonance with the crystal. Exactly the same can happen by accident, except the resonant ‘Q’, will be much lower, making the whistle less likely to reappear if conditions change.
When Bill broke the coupling, I guess the source frequency moved away from the physical resonance, and because the TV had stopped vibrating in tune with it, the resonance was unable to reassert control when power was reapplied.
Quite a few bridges and buildings have collapsed due to resonance. Even in modern times when computers can be used at the design stage to identify significant resonant frequencies in structures. Remember the Millennium Bridge? Open two days before closing for two years to dampen out the resonance that caused it to sway.
Or let’s blame Gremlins!
Dave