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Question

The potential difference across a resistor is doubled. Its resistance changes by a factor of?(Assuming it’s an Ohmic conductor)
  1. 12
  2. 2
  3. 1
  4. 4


Solution

The correct option is C 1
Resistance of any conductor depends on its resistivity (ρ), length (l) and area of cross-section (A).
R=ρlA
Resistivity is the property of material and doesn’t depend on external factors like potential difference etc. (depends on temperature though)
Rest l and A has obviously no dependence on potential difference. So the resistance doesn’t change or rather “changes by factor of 1” (same thing)
You may think it like R=VI so as V changes R should change!!???
But yeah, NO!! That’s because as V changes, I also changes linearly with it (assuming the conductor to be Ohmic) so as to make the net change zero.

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