1.

calculate the resistance of 1 kilometre long copper wire of radius 1 millimetre stability of copper 1.72 into 10 power minus 8 ohm metre​

Answer»

\color{darkblue}\underline{\underline{\sf Given-}}

  • Lenght of copper WIRE {\sf (\ell)=1km\:\implies\:1000m}
  • Radius (R) = {\sf 1mm\:\implies\: 10^{-3}m}
  • Resistivity {\sf (\rho)=1.72×10^{-8}ohm.m}

\color{darkblue}\underline{\underline{\sf To \: Find-}}

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\color{darkblue}\underline{\underline{\sf Formula \: Used-}}

\large\color{violet}\bullet\underline{\boxed{\sf R=\rho\dfrac{\ell}{A}}}

A = Area = πr²

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\implies{\sf R=1.7×10^{-8}×\dfrac{1000}{π×(10^{-3})^2} }

\implies{\sf R=1.7×10^{-8}×\dfrac{10^3}{3.14×10^{-6}}}

\implies{\sf R=1.7×10^{-8}\dfrac{10^{3+6}}{3.14}}

\implies{\sf R= \dfrac{17}{3.14}}

\color{red}\implies{\sf R=5.4\:Ω}

\color{darkblue}\underline{\underline{\sf Answer-}}

Resistance of copper wire is \color{red}{\sf 5.4Ω}



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