0--10 points SercP11 17 P014 My Notes Suppose you wish to fabricate a uniform wi

Question

0--10 points SercP11 17 P014 My Notes Suppose you wish to fabricate a uniform wire out of 1.05 g of copper. If the wire is to have a resistance R 0.630 , and if all the copper is to be used, find the followi (a) What will be the length of the wire? (b) What will be the diameter of the wire? Need Help? ateh My A wire of diameter 0.900 mm and length 50.0 m has a measured resistance of 2.20 n. What is the resistivity of the wire? Need Help? ReadI My A reclangular block of copper has sides of length 18 cm, 30 cm, and 37 cm. If the block is connected to a .2 v source across two of its we..om sis@ ent'

Explanation / Answer

4. mass, m = 1.05 g = 1.05*10^-3 kg

R = 0.63 ohm

a. let length of wire be l, diameter be 2r

then voluem V = pi*r^2*l

density rho = 8960 kg/m^3

rho = m/V

8960*pi*r^2*l = 1.05*10^-3

r^2*l = 0.0373019 cm^3

also, R = r*l/pi*r^2

resistivity of copper, r = 1.72*10^-8

0.63 = 1.72*10^-8*l/pi*r^2

l/r^2 = 1.15*10^8

l = 2071.793 cm = 20.7193 m

b. diameter, 2r = 0.00848637 cm = 0.0000848627 m

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