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Grade 12Algebra

A material ‘B’ has twice the specific resistance of ‘A’. A circular wire made of ‘B’ has twice the diameter of a wire made of ‘A’. Then for the two wires to have the same resistance, the ratio AA /AB of their respective lengths must be ?

sudhanshu

12 Years agoGrade 12

1 Answer

SHAIK AASIF AHAMED

12 Years ago

Hello student,

$R1=\frac{\rho _{a}l_{a}}{\pi R_{a}^{2}}$

$R2=\frac{\rho _{b}l_{b}}{\pi R_{b}^{2}}$

so we get $\frac{l_{b}}{l_{a}}=2$

Thanks and Regards

Shaik Aasif

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