Question

Your friend tells you a story of their roommate being tired of everyone making a mess in the microwave, so he moves it to his room. Because of all of the electronics in his room, he runs a 250 foot, 14 gauge extension cord from the living room to run the microwave. The specifications on the microwave state when it is plugged directly into the 120 volt wall outlet, it will draw 16 amps. How many volts will be delivered to the microwave when it is plugged in series with the extension cord? (Numbers you might need: 100 feet = 30.48 meters, resistivity of copper ρ=1.68*10-8 ohm · m, diameter of 14 gauge wire = 1.628 mm)

Answer 1

Length, L=25off. a 2.5x100 fta 0.1 , La 2.5% 30.48 m on, LE 76.2 m Radius Diameter , 14 gange 10628 mm Radius, o = 2 0.814 mm on 0.814 x103 on 1 So, cross-sectional area, D=002 A

-8 es 1-68 x 10 r.m Resistivity, So, Resistance of full wise, Rape on, R= ert = (1-68 x 108 x 76-2 T 22 5*(0-814 on 0.615 Now , eurent through wise 'I =16 Amp > So, voltage delivered to the miesonare Vm= IR. - where , VE 120 roltage ine. applied (1680.615) Vm 120 1, Vm= 110-16 volt, î - Answes is Vm = 110016 volt,