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There was a basic capacitor test that use to be done with an ohm meter..... The old type, analog non digital type. If you put the probes across the cap, the meter needle would jump up part or full scale, then go back towards infinity...... Then you do it again after waiting a half a minute, if the cap has little to no leakage the meter should not jump up quite as high, presuming the good cap did not loose much of its charge.... Generally a very leaky or shorted cap was a little easier to spot that way. Older analog meters had much less resistance than newer digital meters and the cap actually used a little current to charge, good for electrolytic caps..... You don't get that with the digital meters.....
Digital meters that test caps for value do it by checking to see how fast the plates charge, that corresponds to a value, there are other ways too, but this is done at low voltages, and low currents.... And will not show faults, just values.
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