# A potential difference of 14 V is found to produce a current of 0.45 A in a 3.8 m length of wire with a uniform radius of 0.36 cm. Find the following values for the wire: (a) the resistance Omega (b) the resistivity Omega * m

A potential difference of 14 V is found to produce a current of 0.45 A in a 3.8 m length of wire with a uniform radius of 0.36 cm. Find the following values for the wire:
(a) the resistance $\mathrm{\Omega }$
(b) the resistivity $\mathrm{\Omega }\cdot m$
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Shelby Strong
We know that Resistance
R=V/I
And resistivity p=RA/L
a) Resistance
$R=\frac{V}{I}=\frac{14}{0.45}\phantom{\rule{0ex}{0ex}}R=31.11\mathrm{\Omega }$
b)$\rho =\frac{RA}{L}\phantom{\rule{0ex}{0ex}}\rho =\frac{\pi x\left(0.36×{10}^{-2}{\right)}^{2}×31.11}{3.8}\phantom{\rule{0ex}{0ex}}\rho =3.3×{10}^{-4}\mathrm{\Omega }-m$