A wire of length #"1000 m"# has a resistance of #"10 π Ohm"#, if it's cross sectional area is #0.005 m"^2#, determine its resistivity?

1 Answer
Junaid Mirza
Apr 2, 2018

#1.57 × 10^-4\ "Ω m"#

Explanation:

Resistance #("R")# is given by

#"R" = (ρ"L")/"A"#

where

  • #ρ =# Resistivity of material

  • #"L ="# Length of the wire

  • #"A ="# Area of cross section of wire

#ρ = "RA"/"L" = ("10π Ω × 0.005 m"^cancel(2)) / (1000 cancel "m") = 1.57 × 10^-4\ "Ω m"#

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