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For a metallic wire, the ratio V/i ( V= ...

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

A

independent of temperature

B

increases as the temperature rises

C

decreases as the temperature rises

D

increases or decreases as the temperature rises depending upon the metal

Text Solution

Verified by Experts

The correct Answer is:
B

The resistance of metallic wire at temperature `t^(@)C` is given by
`R_(t)=R_(0)(1+alphat)`
Where `alpha` is coefficient of expansion.
Hence, resistance of wire increases on increasing the temperature. Also, from Ohm's law, ration of `V/i` is equal to R i.e `V/i=R`
Hence on increasing the temperature the ratio `V/i` increases.
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