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The value can be anything.

As long as the resistance is not zero, if the voltage across the resistor is zero the current through the resistor will also be zero.

The relevant equations is...

Voltage = Resistance x Current

In the special case of superconductivity, the resistance is zero and you can have a current even if the voltage is zero.

Answer

Resistance is affected by the length of a material, its cross-sectional area, and its resistivity (which, in turn, is affected by temperature). The resistance of a resistor, therefore, is not affected by either voltage or current.

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Q: What is the value of a resistor when current and voltage are both zero?
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