piig2018 Bgl Date: 494/ 2017 12:00:00 AM- (14%) Problem 7: 00- Due Date: 4/7/201

Question

piig2018 Bgl Date: 494/ 2017 12:00:00 AM- (14%) Problem 7: 00- Due Date: 4/7/2018 11:59:00 PM End Date: 4/12/2018 2:00 gauge copper wire has a diameter of 9.266 mm and a resistivity of 1.72 x 108 92-m ? Calculate the power loss in a kilometer of such wine, in watts, when it carries 0.95 102 A . tan() | ? | ( cosO cotanasino acosO sinho cosh0 tanh0 cotanh0 *1 2 3 0 Degrees Radians SubmitnI give up Hint Hints: 0% deduction per hint. Hints remaining: 2 Feedback:0% deduction per feedback. All eontent 0 2018 Expert TA, LLC

Explanation / Answer

Resistance of a wire is given by:

R = rho*L/A

L = 1 km = 1000 m

A = pi*d^2/4 = pi*(9.266*10^-3)^2/4 = 6.74*10^-5 m^2

rho = 1.72*10^6 ohm-m

So,

R = 1.72*10^-8*1000/(6.74*10^-5)

R = 0.255 ohm

Now power is given by:

P = i^2*R

i = 0.95*10^2 = 95 Amp

So,

P = 95^2*0.255 = 2301.37 W

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