(D) The resistance $R$ of a conductor at temperature $T$ is given by the linear relation:$R = R_{0} [1 + \alpha(T - T_{0})]$$R = R_{0} + R_{0}\alpha(T

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(D) The resistance $R$ of a conductor at temperature $T$ is given by the linear relation:$R = R_{0} [1 + \alpha(T - T_{0})]$$R = R_{0} + R_{0}\alpha(T - T_{0})$Comparing this with the equation of a straight line $y = mx + c$,where $y = R$ and $x = (T - T_{0})$:The slope of the graph is $m = R_{0}\alpha$.Therefore,the temperature coefficient $(\alpha)$ is:$\alpha = \frac{m}{R_{0}}$

Class 12 Physics Current Electricity Resistance of wire, Resistivity and Conductivity

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The variation of the resistance of a conductor with temperature is as shown in the graph. The temperature coefficient $(\alpha)$ of the conductor is:

KCET 2016 All KCET

A
$ \frac{R_{0}}{m} $
B
$ mR_{0} $
C
$ m^{2} R_{0} $
D
$ \frac{m}{R_{0}} $

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Current Electricity

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Resistance of wire, Resistivity and Conductivity

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Two wires $A$ and $B$ of the same material and same mass have radii $2r$ and $r$,respectively. If the resistance of wire $A$ is $34\,\Omega$,then the resistance of wire $B$ will be ............ $\Omega$.

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Two wires of the same material have lengths $L$ and $2L$ and cross-sectional areas $4A$ and $A$ respectively. The ratio of their specific resistance would be

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If copper and silicon are cooled from $300 \, K$ to $60 \, K$,their resistivity will:

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Resistance of a tungsten wire at $150\,^{\circ}C$ is $133\,\Omega$. Its resistance temperature coefficient is $0.0045\,^{\circ}C^{-1}$. The resistance of this wire at $500\,^{\circ}C$ will be .............. $\Omega$.

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The electric resistance of a certain wire of iron is $R$. If its length and radius are both doubled,then

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The variation of the resistance of a conductor with temperature is as shown in the graph. The temperature coefficient $(\alpha)$ of the conductor is:

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Two wires $A$ and $B$ of the same material and same mass have radii $2r$ and $r$,respectively. If the resistance of wire $A$ is $34\,\Omega$,then the resistance of wire $B$ will be ............ $\Omega$.

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