It seems likely that the meter will have an input impedance of c.10M ... most modern DMMs do.
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Yes, that is the capacitor.? It's physically smaller than the one fitted to the NT1 (C8 in this photo)
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but it performs the same function.... My probelm was dirt in the area under tha capacitor.?
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If you measure the voltage at each end of the 4704 resistor (with reference to ground) it should remain the same.? That is around 68v at the left hand end (viewing your photo) and c.50v at the right hand end (assuming the meter impedacnce of around 10M).
If that latter figure rises between not working on first switch on, and the mic finally working, then that capacitor is likely the cause of your problem.
You can replace it with non SMD version, if that is easier?? ( The replacement cap needs to be rated at 100v rather than 63v). An mlcc type should do the job.