(A) Given:Initial temperature,$T_{1} = 27.5^{\circ} C$Resistance at $T_{1}$,$R_{1} = 2.1\; \Omega$Final temperature,$T_{2} = 100^{\circ} C$Resistance

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(A) Given:Initial temperature,$T_{1} = 27.5^{\circ} C$Resistance at $T_{1}$,$R_{1} = 2.1\; \Omega$Final temperature,$T_{2} = 100^{\circ} C$Resistance at $T_{2}$,$R_{2} = 2.7\; \Omega$The temperature coefficient of resistivity $\alpha$ is given by the formula:$\alpha = \frac{R_{2} - R_{1}}{R_{1}(T_{2} - T_{1})}$Substituting the values:$\alpha = \frac{2.7 - 2.1}{2.1(100 - 27.5)}$$\alpha = \frac{0.6}{2.1 \times 72.5}$$\alpha = \frac{0.6}{152.25}$$\alpha \approx 0.0039^{\circ} C^{-1}$

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

Medium

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

A
$0.0039^{\circ} C^{-1}$
B
$0.0081^{\circ} C^{-1}$
C
$0.041^{\circ} C^{-1}$
D
$0.00073^{\circ} C^{-1}$

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Current Electricity

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Resistance of wire, Resistivity and Conductivity

The length of the resistance wire is increased by $10\%$. What is the corresponding change in the resistance of the wire? ................ $\%$

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Wires $A$ and $B$ have resistivities $\rho_A$ and $\rho_B$,where $\rho_B = 2 \rho_A$,and have lengths $l_A$ and $l_B$. If the diameter of wire $B$ is twice that of $A$ and the two wires have the same resistance,then the ratio $\frac{l_B}{l_A}$ is:

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Explain the qualitative dependence of resistivity on temperature.

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What is conductivity? On which factors does its value depend? Write its unit and dimension.

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Consider a wire of length $L$ with a resistance of $5 \Omega$. Applying an external force,the wire is elongated such that its length becomes $3 L$. Assuming the resistivity and density of the material remain unchanged,the resistance of the elongated wire is (in $\Omega$)

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

Similar Questions

The length of the resistance wire is increased by $10\%$. What is the corresponding change in the resistance of the wire? ................ $\%$

Wires $A$ and $B$ have resistivities $\rho_A$ and $\rho_B$,where $\rho_B = 2 \rho_A$,and have lengths $l_A$ and $l_B$. If the diameter of wire $B$ is twice that of $A$ and the two wires have the same resistance,then the ratio $\frac{l_B}{l_A}$ is:

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