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Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityEquivalent ResistanceEasy2 minPYQ_2023

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A certain wire $A$ has resistance $81Ω$ . The resistance of another wire $B$ of same material and equal length but of diameter thrice the diameter of $A$ will beNEET 2023 (Manipur)

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Solution:

We know that, $R = \frac{ρl}{A}$ , where $A = \frac{π}{4} d^{2}$ $\Rightarrow 81 = \frac{ρ \times I}{\frac{π}{4} d ^{2}}, also, R^{'} = \frac{ρ \times I}{\frac{π}{4} \times ( 3 d ) ^{2}} = \frac{ρl}{\frac{π}{4} \times 9 d ^{2}} \Rightarrow R^{'} = \frac{R}{9} = \frac{81}{9} = 9Ω$

Stream:NEETSubject:PhysicsTopic:Current ElectricitySubtopic:Equivalent Resistance

⏱ 2mℹ️ Source: PYQ_2023

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