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Q. The resistance of a straight conductor does not depend on its

NTA AbhyasNTA Abhyas 2020Current Electricity

Solution:

Resistance of a conductor
$R=\frac{\rho l}{A}$ ...(i)
As $\rho $ depends on the material,
so R depends on the material.
According to the given formula in Eq.(i), it depends on length. Moreover resistance $ \propto $ temperature.
If $R_{0}=$ resistance of conductor at $0^\circ \, C,$
$R_{t}=$ resistance of conductor at $t^\circ C$ ,
and $a,\beta =$ temperature coefficient of resistance, then
$R_{t}=R_{0}\left(1 + \alpha t + \beta t^{2}\right)$
The resistance of a straight conductor does not depend on shape of cross-section.