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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 $A$

Vedclass · Accepted Answer

$R_A = R_B = R_C$

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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:$R_A = R_B = R_C$.

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