1.The typical interior wire in houses and commercial buildings is 12 gauge coppe

Question

1.The typical interior wire in houses and commercial buildings is 12 gauge copper wire. 12 gauge wire has a diameter of 0.205 cm. The resistivity of copper is 1.72x10-8m.

System units: Enter as ohm

A.Determine the resistance of a 45 m long piece of 12 gauge copper wire.
(include units with answer)
B.Determine the voltage drop across the ends of the wire if 17 amps of electricity flow through the wire.
(include units with answer)
C.Determine the power dissipated in the wire.
(include units with answer)

3/0 Gauge 200 Amps Service entrance 110 Gauge 150 Amps Service entrance and feeder wire 8 100 Amps Service entrance and feeder wire Gauge 6 55 Amps Feeder and large appliance wire Gauge 40 Amps Feeder and large appliance wire 30 Amps Dryers, appliances, and air conditioning 20 Amp:s Appliance, laundry and bathroom circuits 15 Amps General lighting and receptacle circuits 8 Gauge 10 Gauge D 12 Gauge 1 ge-(

Explanation / Answer

Given

diameter d = 0.205 cm

radius r = 0.1025 * 10^-2 m

area of cross section

A = pi * r^2

A = 3.14 * sqr(0.1025 * 10^-2)

A = 3.3 * 10^-6 m^2

resistivity rho = 1.72 * 10^-8

a)

resistance

R = rho * l / A

R = 1.72 * 10^-8 * 45 / 3.3 * 10^-6

R = 0.234 ohm

b)

voltage V = i * R

V = 17* 0.234

V = 3.978 V

c)

power P = i^2 * R

P = 289* 0.234

P = 67.626 W

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