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Find the resistance of a hollow cylindrical pipe of length 1m whose inner and outer radii are 10cm and 20 cm respectively. Assume that the cylindrical pipe is made of a material of resistivity 2 x 10-8ohm m. 
Asked by narasimhasarma10 | 14 Jun, 2015, 11:19: AM
answered-by-expert Expert Answer
Given that: l = 1 m
Inner radii, r1 = 10 cm = 0.1 m ; Outer radii, r2 = 20 cm = 0.2 m
begin mathsize 12px style Cross space sectional space area comma space straight A space equals space straight pi space left parenthesis straight r subscript 2 squared space minus straight r subscript 1 squared space right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 3.14 space left square bracket left parenthesis 0.20 right parenthesis squared space minus space left parenthesis 0.10 right parenthesis squared right square bracket space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 9.42 space cross times space 10 to the power of negative 2 end exponent space straight m squared Resistivity comma space straight R space equals ρl over straight A space equals fraction numerator 2 cross times 10 to the power of negative 8 end exponent cross times 1 over denominator space 9.42 space cross times space 10 to the power of negative 2 end exponent end fraction straight R equals space 2.1 space cross times space 10 to the power of negative 2 end exponent space straight capital omega end style
Answered by Yashvanti Jain | 15 Dec, 2017, 11:46: AM

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