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Following figure shows cross-sections th...

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

A

`R_A=R_B=R_C`

B

`R_AgtR_bgt R_C`

C

`R_AltR_BltR`

D

Information is not sufficient

Text Solution

Verified by Experts

All the conductors have equal lengths. Area of cross-section of A is `{(sqrt3a)^2-(sqrt2a)^2}=a^2`
Similarly area of cross-section of B = Area of crosssection of `C=a^2`
Hence according to formula `R=p1/A,` resistances of all the conductors are equal i.e., `R_A=R_B=R_C`
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