Question

1. Calculate the resistivity of a 24 ohm circuit 5m long and 2.6 m2 cross sectional area
2. Calculate the conductivity of the material

Answer 1

$\huge \orange{ \boxed{\huge \purple{ \boxed{\huge \green{ \boxed{\huge \red { \underline{{{ᴀ}}}} \huge \pink { \underline{{{ɴ}}}} \huge \purple { \underline{ \mathfrak{{{s}}}}} \huge \blue { \underline{{{ᴡ}}}} \huge \orange { \underline{{{ᴇ}}}} \huge \mathbb { \underline{{{ʀ}}}}}}}}}}$

Given :

 

 R=2Ω            l=1 m            d=0.4 mm =0.0004 m

Cross section area of wire       A=4πd2

=4π×(0.0004)2=1.256×10−7 m2 

Resistivity of the material       ρ=lRA

∴   ρ=12×1.256×10−7=2.514×10−7  Ωm