Variation of Resistance and Resistivity with Temperature

IMPORTANT

Variation of Resistance and Resistivity with Temperature: Overview

This topic covers concepts, such as, Temperature Effect on Resistivity, Resistivity versus Temperature for Conductor, Explanation for Positive Temperature Coefficient of Resistivity of Conductor & Temperature Coefficient of Resistivity etc.

Important Questions on Variation of Resistance and Resistivity with Temperature

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

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Why temperature coefficient of resistance of conductor is positive?

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The temperature coefficient of resistance of a semiconductor

HARD
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The temperature coefficient of resistance of a wire is 0.00125 /°C . At 300 K, its resistance is 1 Ω. The resistance of wire will be 2 Ω at

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

Previous Question:- Consider the following two statements.
(A) Free-electron density is different in different metals.
(B) Free-electron density in a metal depends on temperature. Seebeck effect is caused

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A wire has a resistance of 2.5 Ω at 28  oC and a resistance of 2.9 Ω at 100  oC . The temperature coefficient of resistance of material of the wire is 2.22×10-2 C-1ο.

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Find the temperature at which the resistance of a material is doubled that of the resistance at 0° C. The temperature coefficient of the material of resistance is 4.0×10-3 C-1.

MEDIUM
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At room temperature 27° C, the resistance of a heating element is 100 Ω. What is the temperature of the element if the resistance is found to be 117 Ω, given that the temperature coefficient of the material of resistance is 1.70×10-4 C-1.

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

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Give the dependence of resistivity on temperature of a conductor.

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

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

MEDIUM
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A sliver wire has a resistance of 2.1 Ω at 27.5oC and a resistance of 2.7Ω at 100 oC. Determine the temperature coefficient of resistivity of silver.

MEDIUM
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The temperature coefficient of resistance of a manganin wire is 0.002 per degree centigrade and its resistance is 7.6 ohm at 300 K. When a potential is applied, its temperature increases to 77 oC. Now what will be its resistance?

MEDIUM
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Variation of resistance of the conductor with temperature is as shown. Temperature coefficient of the conductor is

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If copper and silicon pieces are heated, the resistance of

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A wire of Aluminium and a wire of Germanium are cooled to a temperature of 77oK . Then

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

ρT=ρ01+αT-T0

Where α is the temperature coefficient of resistivity, ρ0 is resistivity at initial temperature T0

EASY
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Find the resistance of the wire at 30o C, if at 5oC, the resistance of same wire is 200Ω and at 10oC, the resistance of same wire is 200.2 Ω