Hollymorebear
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the resistance (r) in a wire increases when the length of the wire (l) increases. write the correct equation for this scenario, and solve for when the length is 1.

Respuesta :

caylus
Hello,

This is the law of Pouillet.

[tex]r=\rho* \dfrac{L}{S}\\ if \ L=1\ then\ \boxed{r= \dfrac{\rho}{S} }[/tex]

Answer:

[tex]r=\frac{\rho}{A}[/tex]

Step-by-step explanation:

Given,

Resistance (r) in a wire increases when the length of the wire (l) increases,

That is, r is proportional to l

[tex]r\propto l[/tex]    

Also, we know that Resistance is inversely proportional to the cross sectional area, A,

That is,

[tex]r\propto \frac{1}{A}[/tex]

By combining,

[tex]r\propto \frac{l}{A}[/tex]

[tex]r=\rho \frac{l}{A}[/tex]

Where, [tex]\rho[/tex] is the resistivity constant.

Given, l = 1 unit,

Hence, the required formula would be,

[tex]r=\frac{\rho}{A}[/tex]                                    

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