Question

the resistance of wire in milliohms is given by the equation r = ρl/a where r is the resistance in milliohms, ρ is the resistivity of the wire material, l is the length of the wire, and a is the cross - sectional area of the wire. the resistivity is 0.762 ω * in, the wire length is 40.84 in, and the cross - sectional area of the wire is 0.018 in². find the wire resistance when round to the nearest thousandth of a milliohm. your answer:

Explanation:

Step1: Identify given values

$
ho = 0.762\ \Omega\cdot in$, $L = 40.84\ in$, $A=0.018\ in^{2}$

Step2: Substitute values into resistance formula

$R=\frac{
ho L}{A}=\frac{0.762\times40.84}{0.018}$

Step3: Calculate the numerator

$0.762\times40.84 = 31.12008$

Step4: Calculate the resistance

$R=\frac{31.12008}{0.018}\approx1728.893$

Answer:

$1728.893$