The output from the 1940's-era modulated oscillator I'm restoring is being fouled by a 50Hz signal and I haven't been able to find the cause of it - so I'm far from being able to eliminate it. It's a valve instrument - a Paton Electrical "MO" Modulated Oscillator.
Thinking the unwanted 'hum' likely to originate in the unrectified 6.3V filament circuit I put together a DC filament supply and nothing changed. All electrolytic and paper capacitors have been replaced.
With the instrument powered up, but the main switch in the 'OFF' position, the high voltage portion of the secondary side is open circuit, but the low voltage filament circuit is not - so the valve filaments are kept warm. Whether the filament circuit is AC or DC, and with the main switch OFF, this signal appears at the output of the instrument:
It is only about 700mVpp, but the maximum RMS amplitude of the output of the desired signal is 1V, so this constitutes pretty unacceptable interference. It has the effect of modulating the otherwise symmetrical sine wave output to the point of being useless (no waveform capture, sorry.)
Schematic (prepared by me, not an experienced hand:)
The high voltage circuit is full-wave rectified, so I assume that the interference originates elsewhere.
The form of the interfering signal reminds me of magnetising current in a saturating transformer - is this possibly the issue - and if yes, what next?
UPDATE 07 JULY 2022:
Well, the issue has been resolved, however I'm no closer to understanding what the issue was.
I put together separate DC supplies for the valve heaters [6.3V] and high voltage [280V]. These are in their own remote enclosures.
I removed the original power transformer and rectifier valve, and replaced all wiring. I'd already replaced all paper and electrolytic capacitors.
It's made the instrument much easier to work on - now that the enclosure seems empty compared to its previous state!
For interest, updated schematic follows. Thanks to all for your help.