Consider a po er ant located 5 km away ram a residential area, which uses o au A

Question

Consider a po er ant located 5 km away ram a residential area, which uses o au A-4240 m c pper w e to transmit po era a cument a 7-9. no A Ha much more p er in w is dissinated in a en per w e tha 'd he n a sun o du ng ina Additional Materials eDook 282NA011.Tulonia A copper wire has a diameter of 1.872 mm. Wat manitude current flows when the drift speed is 2.04 mnýs? Take the density of cupper to be 9.92 10 kam3 speed related to the current flowing in a wire? Consider the fact that there is one free electron per copper atom when determining the charge density. A

Explanation / Answer

i)

We know the equations are

P= i2 R

R = (l /A)

Given

i = 9 A

A = 42.40mm2 or 42.40x10-5m2

= 1.72 x 10-8 m

l = 55km = 55000m

R = (1.72x10-8) x (55000 /42.40x10-5)

R = 2.23

P = i2 R

P = (92) (2.23)

P =180.63 W

ii)

Magnitude of the current flow

Drift velocity is V = i / (n A e)

Here V = 2.04 mm/s , n = 8.92x103 kg/m3, e = 1.6 x10-19 coulombs

i = n A e V = (8.92 x103 )x (42.40x 10-5) x (1.6x10-19) x (0.00204)

please do the calculation part. You will get the final answer

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