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ICSE Class 10 Answered

A 10 ohm thick wire is stretched so that its lengh becomes 3 times  Calculate resistance oof new wire
Asked by lovemaan5500 | 15 Mar, 2018, 07:17: AM
answered-by-expert Expert Answer
Resistance R = begin mathsize 12px style rho L over A space equals space 10 space capital omega end style
where ρ is specific resistance, L is length of conductor and A is area of cross section.
 
If the wire is stretched 3 times, length is increased by 3 times, cross section area is reduced by 3 times because volume is constant
 
Volume V = L×A = (3L)×(A/3)
 
hence new resistance R' = begin mathsize 12px style rho cross times fraction numerator 3 L over denominator begin display style bevelled A over 3 end style end fraction equals rho cross times L over A cross times 9 space equals space 9 cross times 10 space equals space 90 capital omega space end style
Answered by Thiyagarajan K | 15 Mar, 2018, 01:13: PM
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