FSZA 10-km-long underground cable extends from east to west and consists of two parallel wires
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Answered question
2021-01-17
A 10-km-long underground cable extends from east to west and consists of two parallel wires, each of which has resistance13? /km. An electrical short develops at distance x from the west end when a conducting path of resistance R connects the wires. The resistance of the wires and the short is then100? when measured for the east end and 200? when measured from the west end. What are (a) x and (b)R?
Answer & Explanation
sovienesY
Skilled2021-01-18Added 89 answers
Resistance of wire 1 at distance x from west = 13x
Because wire is having resistance 13ohm for 1km
Resistance of wire 2 at distance x from west = 13x
Total resistance from west= 13x+13x+R = 200 OHM=26x+R
Resistance of wire 1 at distance 10-x from east =13(10-x)
Resistance of wire 2 at distance10- x from east =13(10-x)
Total resistance FROM = 13(10-x)+13(10-x)+R = 100 OHM=26(10-X)+R
GIVES 52X -260 = 100
X = 6.88 OHM
PLUG THE VALUE OF X IN 1 OR 2 AND SOLVE FOR R
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