(A) All the conductors have equal lengths $(l)$ and are made of the same material (same resistivity $\rho$).The area of cross-section of conductor $A$

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(A) All the conductors have equal lengths $(l)$ and are made of the same material (same resistivity $\rho$).The area of cross-section of conductor $A$ is $A_A = (\sqrt{3}a)^2 - (\sqrt{2}a)^2 = 3a^2 - 2a^2 = a^2$.The area of cross-section of conductor $B$ is $A_B = (\sqrt{2}a)^2 - (a)^2 = 2a^2 - a^2 = a^2$.The area of cross-section of conductor $C$ is $A_C = (a)^2 = a^2$.Since the resistance is given by $R = \rho \frac{l}{A}$,and all conductors have the same $\rho$,$l$,and $A$,their resistances are equal:$R_A = R_B = R_C$.

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

Medium

The following figure shows cross-sections through three long conductors of the same length and material,with square cross-sections of edge lengths as shown. Conductor $B$ will fit snugly within conductor $A$,and conductor $C$ will fit snugly within conductor $B$. The relationship between their end-to-end resistance is:

A
$R_A = R_B = R_C$
B
$R_A > R_B > R_C$
C
$R_A < R_B < R_C$
D
Information is not sufficient

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Current Electricity

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Resistance of wire, Resistivity and Conductivity

With an increase in temperature,the resistivity of a conductor ........ and the resistivity of a semiconductor ....... .

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At what temperature will the resistance of a copper wire become three times its value at $0^{\circ}C$? (Temperature coefficient of resistance for copper = $4 \times 10^{-3} \,^{\circ}C^{-1}$)

Medium

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One $kg$ of copper is drawn into a wire of $1 \ mm$ diameter and a wire of $2 \ mm$ diameter. The resistance of the two wires will be in the ratio:

MediumWBJEE 2009

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Two copper wires $A$ and $B$ have the same diameter and lengths of $3 \ cm$ and $5 \ cm$ respectively. If their resistances are $R_A$ and $R_B$ and their resistivities are $\rho_A$ and $\rho_B$,then which of the following is correct?

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$n$ conducting wires of same dimensions but having resistivities $1, 2, 3, . . . , n$ are connected in series. The equivalent resistivity of the combination is

MediumTS EAMCET 2004

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With an increase in temperature,the resistivity of a conductor ........ and the resistivity of a semiconductor ....... .

At what temperature will the resistance of a copper wire become three times its value at $0^{\circ}C$? (Temperature coefficient of resistance for copper = $4 \times 10^{-3} \,^{\circ}C^{-1}$)

One $kg$ of copper is drawn into a wire of $1 \ mm$ diameter and a wire of $2 \ mm$ diameter. The resistance of the two wires will be in the ratio:

Two copper wires $A$ and $B$ have the same diameter and lengths of $3 \ cm$ and $5 \ cm$ respectively. If their resistances are $R_A$ and $R_B$ and their resistivities are $\rho_A$ and $\rho_B$,then which of the following is correct?

$n$ conducting wires of same dimensions but having resistivities $1, 2, 3, . . . , n$ are connected in series. The equivalent resistivity of the combination is

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