- Part C Constant You want to produce three 2.00-m-diameter cylindrical wires, o

Question

- Part C Constant You want to produce three 2.00-m-diameter cylindrical wires, oach with a resistanoe of 5.00 at room temperature. One wre is goid, onos copper, and one is alumium. Rofer to Table 25.1 in the toxtbook for the reaistivity valuos What will be the length of the aluminum wire? Express your answer with the appropriate units. L-5.92 10 m X Incorrect; Try Again; 5 aesompts remaining - Part D Gold has a density of 1.93 x1What will be the mass of the gold wire? Express your answer with the appropriate units Value Units Submit Part E gold is ourrently worth $40 per gram, what is the cost of the gold wiro? Express your answer using three significant figures Submit

Explanation / Answer

here,

diameter of wire , d = 2 mm = 0.002 m

radius , r = d/2 = 0.001 m

resistance , R = 5 ohm

C)

resistivity of alumunium , pa = 2.65 * 10^-8 ohm.m

let the length of wire be l

R = pa * l/area

5 = 2.65 * 10^-8 * l/(pi * 0.001^2)

solving for l

l = 592.5 m

the length of alumunium wire is 592.5 m

D)

density of gold , p = 1.93 * 10^4 kg/m^3

the mass of wire , m= density * volume

m = 1.93 * 10^4 * 592.5 * pi * 0.001^2 kg

m = 35.9 kg

E)

cost per gram = 40 dollars

cost per kg = 40 * 1000 dollars

cost of gold used , C = 35.9 * 40 * 1000 dollars

C = 1.44 * 10^6 dollars

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