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The voltage needs to be 400V or more, as that's the peak of the 240V AC mains sine wave. Higher ratings do no harm.
Here's a forum thread with some specific part numbers. The X/Y classes discussed are safety ratings that guarantee the capacitor won't fail short circuit across the mains and explode.
https://www.eevblog.com/forum/beginners/equivalent-of-obsolete-mains-rated-capacitor/
(Does it run with the failed capacitor? These small values imply the cap is only for noise/spark suppression. If it doesn't run then there's something more up)
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Hey I have no idea about this my self, but I personally know and recommend this guy : http://thesewingmachinedoctor.co.uk/ - I’ve known Tim for years, a true gent and knows an incredible amount of stuff on many many subjects, (brewing beer, photography etc) give him a call and talk it through with him.
Managed to rescue my Mum's Bernina 707 sewing machine that was about to go to the dump.
The capacitor has failed (otherwise it is in great condition). Having looked into it, it appears that replacements are obsolete. however I've found a few references to recreating the same capacitance using new ones from Maplin, etc. People have mentioned just wiring a couple of 0.1 µf in series (400 or 500v?), and connecting to the three non-earth wires. (apparently the motor is double insulated so you don't actually need to connect the earth wire).
Usefully, the capacitor has a wiring diagram on it. I have the soldering iron & kit to do the repair, but if someone could help me identify exactly which capacitors to get (from RS?), and how to connect them, that would be awesome!!
Photos here, including the wiring diagram. Any pointers much appreciated!!
Edit: If I don't need the earth wire, then that takes two of the capacitors out of the equation (see diagram in the link above), so would this then work with a 0.06µF and 0.02µF connected across the white, black and grey wires? What voltage / which components should I get from the myriad on RS?