Question

6 m long wire has diameter of 0.5 millimetres is 50 ohm find the Resistivity and conductivity​

Answer 1

Answer:

resistivity=4.90625^-6 ohm( m)

conductivity=1/4.90625^-6 S/m

Explanation:

60m =60×100mm

60m=6000mm

radius of wire= D/2

radius of wire=0.5/2

radius of wire=0.25mm

area of cross-section=πr^2

=3.14×(0.25)^2

=3.14×0.0625

=0.19625mm^2

Resistance (R)=resistivity×L/A

150=resistivity×6000/0.19625

resistivity=150×0.19625/6000

resistivity= 0.00490625 ohm( mm)

resistivity= 4.90625^-6 ohm(m)

[ As ohm(m) is the S.I. unit]

Conductivity:

conductivity= 1/resistivity

= 1/4.90625^-6 S/m

( conductivity is the reciprocal of resistivity)

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I'm just a 9 th grade student (SSC)