Two solid conductors are made up of same material, have same length and same resistance. One of them has a circular cross section of area A 1 and the other one has a square cross section of area A 2 .

Question

Two solid conductors are made up of same material, have same length and same resistance. One of them has a circular cross section of area A 1 and the other one has a square cross section of area A 2 . The ratio A 1 A 2 isNEET 2020 (Phase 2)

TestHub · Accepted Answer

First, remember the relation between resistance and specific resistivity in terms of length and cross-section area, $R = ρ \frac{l}{A}$ , given, the resistance of the conductors is the same, $R_{1} = R_{2}$ and they are made from the same material, so $ρ_{1} = ρ_{2}$

$\Rightarrow \frac{1}{A_{1}} = \frac{1}{A_{2}}$ $\Rightarrow \frac{A_{1}}{A_{2}} = 1$ .

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