Question

You want to precut a set of 1.16 Ω strips of 14.0 gauge copper wire (of diameter 1.628 mm).How long should each strip be?

Answer 1

Answer:

Length of wire will be equal to 0.01436 m

Explanation:

We have given resistance R = 1.16 ohm

Diameter of the wire d = 1.628 mm

So radius $r=\frac{d}{2}=\frac{1.628}{2}=0.814mm=0.814\times 10^{-3}m$

So cross sectional area $A=\pi r^2=3.14\times (0.814\times 10^{-3})^2=2.08\times 10^{-6}m^2$

Electrical resistivity of copper $\rho =1.68\times 10^{-8}ohm-m$

We have to find the length of the wire

We know that resistance is given by

$R=\frac{\rho l}{A}$

$1.16=\frac{1.68\times 10^{-8} \times l}{2.08\times 10^{-6}}$

$l=1.436\times 10^{-2}m=0.01436m$

So length of the wire will be equal to 0.01436 m