Temperature Dependence of Resistivity

The conductivity of a material varies with temperature for (i) semiconductors and (ii) good conductors as

Show graphically the variation of resistivity with temperature for Nichrome.

The temperature coefficient of resistance of a wire is $0.00125 /°\mathrm{C}$ . At $300 \mathrm{K}$, its resistance is $1 \mathrm{\Omega }$. The resistance of wire will be $2 \mathrm{\Omega }$ at

Consider the statements A and B in the previous question. Peltier effect is caused

A wire has a resistance of $2.5\mathrm{ }\mathrm{\Omega }$ at $28\mathrm{ }{ }^{\mathrm{o}}\mathrm{C}$ and a resistance of $2.9\mathrm{ }\mathrm{\Omega }$ at $100\mathrm{ }{ }^{\mathrm{o}}\mathrm{C}$ . The temperature coefficient of resistance of material of the wire is $2.22\times {10}^{-2} {}^{\mathrm{o}}\mathrm{C}^{-1}$.

Find the temperature at which the resistance of a material is doubled that of the resistance at $\left(0° \mathrm{C}\right)$. The temperature coefficient of the material of resistance is $4.0\times {10}^{-3} {\mathrm{C}}^{-1}$.

At room temperature $\left(27° \mathrm{C}\right)$, the resistance of a heating element is $100 \mathrm{\Omega }$. What is the temperature of the element if the resistance is found to be $117 \mathrm{\Omega },$ given that the temperature coefficient of the material of resistance is $1.70\times {10}^{-4} {\mathrm{C}}^{-1}$.

Write the names of two materials whose resistivity decreases on increasing the temperature.

Give the dependence of resistivity on temperature of a conductor.

A conducting resistance is connected to a battery. The temperature of the conductor decreases due to cooling. The current flowing through the resistance will -

A piece of Gold (Au) and Germanium (Ge) are cooled from room temperature to 77 K. Then the resistance of

A sliver wire has a resistance of $2.1 \mathrm{\Omega }$ at $27.5{}^o\mathrm{C}$ and a resistance of $2.7\mathrm{\Omega }$ at ${100 }^o\mathrm{C}.$ Determine the temperature coefficient of resistivity of silver.

If copper and silicon pieces are heated, the resistance of

A wire of Aluminium and a wire of Germanium are cooled to a temperature of ${77}^{o}K$ . Then

Resistivity of a resistor at a temperature $T$ is given by the relation:

$\rho \left(T\right)={\rho }_0\left[1+\alpha \left(T-T_0\right)\right]$

Where $\alpha$ is the temperature coefficient of resistivity, ${\rho }_0$ is resistivity at initial temperature $T_0$

Find the resistance of the wire at ${30}^{o }C,$ if at $5^{o}C,$ the resistance of same wire is $200\mathrm{\Omega } and at {10}^{o}C,$ the resistance of same wire is $200.2 \mathrm{\Omega }$

Assertion: With increase in temperature, resistance of a conducting wire increases.

Reason: With the increase in temperature, the length and area of cross-section of wire changes but resistivity remains constant.

Assertion: The resistivity of semiconductor decreases with increase of temperature.

Reason: In a conducting solid, the rate of collision between free electrons and ions increases with increase of temperature.

Assertion: Material used in the construction of a standard resistance is Constantan or Manganin.

Reason: The temperature coefficient the resistances is very small.

Assertion: The drift velocity of electrons in a metallic wire will decrease, if the temperature of the wire is increased.
Reason: On increasing the temperature, conductivity of metallic wire decreases.