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 (Please solve step by step because it is not clearly given in NCERT textbook)Resistance of a metal wire of a length 1m is 26 ohm at20 to the power of. straight C. If space the space diameter space of space the space wire space is space 0.3 mm comma what space will space be space the space resistivity space of space the space metal space at space that space temperature ?
Asked by agraharianiruddha | 08 Sep, 2018, 06:50: PM
answered-by-expert Expert Answer
Resistance Rbegin mathsize 12px style equals space rho cross times L over A space............. left parenthesis 1 right parenthesis end style
where ρ is resistivity of the material, L is length of resistance, A is area of cross section.
 
Area of cross section A begin mathsize 12px style equals pi over 4 d squared space equals space pi over 4 cross times 0.3 cross times 0.3 cross times 10 to the power of negative 6 end exponent space equals space 7.069 cross times 10 to the power of negative 8 end exponent space m squared end style
if we rewrite eqn.(1), begin mathsize 12px style rho space equals space R cross times A over L space equals space 26 cross times fraction numerator 7.069 cross times 10 to the power of negative 8 end exponent over denominator 1 end fraction space equals 1.84 cross times 10 to the power of negative 6 end exponent end style Ωm
Answered by Thiyagarajan K | 08 Sep, 2018, 07:54: PM

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