A room AC runs for 5 a day at a voltage of 220 V. The wiring of the room consists of Cu of 1 mm radius and a length of 10 m. Power consumption per day is 10 commercial units. What fraction of it goes in the joule heating in wires? What would happen if the wiring is made of aluminium of the same dimensions?
A room AC runs for 5 a day at a voltage of 220 V. The wiring of the room consists of Cu of 1 mm radius and a length of 10 m. Power consumption per day is 10 commercial units. What fraction of it goes in the joule heating in wires? What would happen if the wiring is made of aluminium of the same dimensions?
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1 Answer
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This is a Long Answer Type Questions as classified in NCERT Exemplar
Explanation – power consumption in a day i.e in 5 = 10 units
Power consumption per hour = 2 units
Power consumption = 2 units =2KW= 2000J/s
Also power =V I
2000W= 220V l or l= 9A approx.
R=
Power consumption in first current carrying wire
P= I2R
l2= 1.7 10-8 j/s = 4J/s approx.
Loss due to joule heating in first wire = 100=0.2%
Power loss in Al wire =1.6 4= 6.4J/s
Fractional loss due to joule heating in second wire = 100= 0.32%
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