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I recommend using a DVM as a series resistor along with a 10 uF capacitor.
This provides a time constant of about 100 seconds( assuming a meter
resistance of 10 M Ohms). The students can take the data with a stop watch.
In fact if they plot a discharge curve, they can take the "ln" and estimate
the actual resistance of the meter.
This experiment works well with a wide range of students from engineering
majors to technicians.
Paul Hutta
PENN STATE at Abington