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A 1 m long stainless steel wire has electrical conductivity of (4.05x10^6) Ωm−1, and end-to-end resistance...

A 1 m long stainless steel wire has electrical conductivity of (4.05x10^6) Ωm−1, and end-to-end resistance of (2.1680x10^0)Ω What is the radius of the wire in m?

Expert Solution

Electrical resistivity

R = end to end resistance of material = (2.1680x10^0)Ω

= length of material = 1 m

A = cross-sectional area

Electrical resistivity = 1/electrical conductivity

= 1/(4.05x10^6)

= 2.469 x 10^-7 Ωm

A = (1m x 2.469 x 10^-7 Ωm) / (2.1680x10^0)Ω

= 1.1389 x 10^-7 m2

(3.14/4)*d² = 1.1389 x 10^-7 m2

d² = 1.1389 x 10^-7 m2 x 4 / 3.14

d = 3.808 x 10^-4 m

Radius of wire = d/2

= 3.808 x 10^-4 m /2

= 1.904 x 10^-4 m

Amanda K answered 2 years ago

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