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Varistors are known to use for over-voltage protection, as they have high electrical resistance at low voltage which decreases as the voltage is raised.(wikipedia).
But is there any electrical component or simple solution to function reversely?! In contrast, A non-linear resistor to have low electrical resistance at low voltage and high resistance at high voltage? or simpler closed-circuit when no voltage, and open-circuit when voltage greater than any constant applied?
A positive temperature coefficient (PTC) thermistor, though it won't reach open circuit.
A light bulb would have that characteristic, but with a thermal delay. Sometimes the difference between cold and hot can be 10:1.
But a more appropriate solution might be (since we're just guessing at what you're trying to do) a current sink. The current sink might sink 1ma at 1V and 1mA at 60V. So the effective resistance changes from 1K to 60K. Simple current sinks can be made with op-amps and transistors or just transistors depending on what rails are available and how stable the current should be.
You can even just use a JFET or depletion-mode MOSFET with the gate tied to the source.
