homeworkhelp176
homeworkhelp176 homeworkhelp176
  • 25-10-2019
  • Physics
contestada

Taking the resistivity of platinoid as 3.3 x 10-7 m, find the resistance of 7.0 m of platinoid wire of average diameter 0.14 cm.

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skyluke89
skyluke89 skyluke89
  • 27-10-2019

Answer:

[tex]1.5 \Omega[/tex]

Explanation:

The resistance of a wire is given by:

[tex]R=\frac{\rho L}{A}[/tex]

where

[tex]\rho[/tex] is the resistivity of the material

L is the length of the wire

A is the cross-sectional area of the wire

For the wire in this problem:

[tex]\rho = 3.3\cdot 10^{-7} \Omega m[/tex]

L = 7.0 m

r = d/2 = 0.07 cm = 0.0007 m, so the area is

[tex]A=\pi r^2=\pi(0.0007)^2=1.54\cdot 10^{-6}m^2[/tex]

Solving for R,

[tex]R=\frac{(3.3\cdot 10^{-7})(7.0)}{1.54\cdot 10^{-6}}=1.5 \Omega[/tex]

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