PLEASE HELP!! PHYSICS QUESTION-DOES ANYONE KNOW HOW TO DO THIS WITH THE WORKING OUT?!?

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.

Respuesta :

Answer:

[tex]1.5 \Omega[/tex]

Explanation:

The resistance of a wire is given by  the equation

[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

Here we have  the following data:

[tex]\rho = 3.3\cdot 10^{7} m[/tex]  is the resistivity

L = 7.0 m  is the length of the wire

[tex]d=0.14 cm[/tex] is the diameter of the wire, so the radius is

[tex]r=\frac{d}{2}=\frac{0.14}{2}=0.07 cm = 7\cdot 10^{-4}m[/tex]

So the cross-sectional area is

[tex]A=\pi r^2 = \pi (7\cdot 10^{-4})^2=1.54\cdot 10^{-6} m^2[/tex]

Substituting, the resistance of the wire is:

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