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Q. When the area of cross-section and length both are doubled, then its resistances :

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When the area of cross-section and length both are doubled, then its resistances :

Solution:

For the resistance, $ R=frac{l}{A} $ Hence, $ {{R}_{1}}=frac{l}{A} $ ?(i) according to question $ {{R}_{2}}=frac{2l}{2A} $ ?(ii) So, from equation (i) and (ii) we have $ {{R}_{1}}={{R}_{2}} $

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