The standard way to measure
resistance in ohms is to supply a constant voltage to the resistance and
measure the current through it. That current is of course inversely
proportional to the resistance according to Ohm's law, so that you have a
non-linear scale. The current registered by the current sensing element
is proportional to 1/R, so that a large current implies a small
resistance. Modern solid-state meters have digital readouts, but the
principles of operation can be better appreciated by examining the older
moving coil meters based on galvanometer sensors.
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