A 3.50-meter length of wire with a cross-sectional area of 3.14 × 10-6 meter2 is at 20° Celsius. If the wire has a resistance of 0.0625 ohms, what is its resistivity?

Respuesta :

Answer:

[tex]5.6\times 10^{-8}\ Ohm.m[/tex]

Explanation:

Resistivity is given by [tex]\rho=\frac {AR}{L}[/tex] where A is cross-sectional area, R is resistance, L is the length and [tex]\rho[/tex] is the reistivity. Substituting 0.0625 for R, 3.14 × 10-6 for A and 3.5 m for L then the resistivity is equivalent to

[tex]\rho=\frac {3.14\times 10^{-6}\times 0.0625}{3.5}=5.60714285714285714285714285714285714285\times 10^{-8}\approx 5.6\times 10^{-8}\ Ohm.m[/tex]

The resistivity should be 5.6*10^-8 ohm.

Calculation of the resistivity:

Since

Resistivity is provided by  

p = AR/L

Here A should be a cross-sectional area,

R is resistance,

L is the length

and p is the resistivity.

Now the resistivity should be

= 3.14*10^-6*0.0625/3.5

= 5.6*10^-8 ohm

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