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Current Electricity

Question
CBSEENPH12047769

For a metallic wire, the ratio Vi ( V = applied potential difference and i = current flowing) is

  • independent of temperature

  • increases as the temperature rises

  • decreases as the temperature rises

  • increases or decreases as temperature rises depending upon the metal 

Solution

B.

increases as the temperature rises

The resistance of a metallic wire at temperature t°C is given by 

Rt = Ro ( 1 + α t )

Where α is coefficient of expansion.
Hence, resistance of wire increases on increasing the temperature. Also, from Ohm's law, Viratio is equal to R ie

Vi = R

Hence, on increasing the temperature the ratio Vi increases.