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Figure (a), (b) and (c) show three cylin...

Figure (a), (b) and (c) show three cylindrical copper conductors alongwith their face areas and length. Which of the conductors will have highest resistance and why?

Text Solution

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(i) `R_(a)= rho(L)/(A)`
(ii) `R_(b)= rho ((2L)/(A//2))= rho((4L)/(A))= 4R_(a)`
(iii) `R_(c)= rho ((L)/(2(2A)))= (1)/(4)rho((L)/(A))= (1)/(4)R_(a)`
Hence, `R_(b) gt R_(a) gt R_(c)` Thus, the conductor (b) will have the highest resistance.
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