Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor $B$ will fit snugly within conductor $A$, and conductor $C$ will fit snugly within conductor $B$. Relationship between their end to end resistance is
Medium
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(a) All the conductors have equal lengths. Area of cross-section of $A$ is $\{ {(\sqrt 3 \,a)^2} - {(\sqrt 2 \,a)^2}\} = {a^2}$
Similarly area of cross-section of $B=$ Area of cross-section of $C = a^2$
Hence according to formula $R = \rho \frac{l}{A};$ resistances of all the conductors are equal i.e.$ R_A = R_B = R_C$
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