How much energy is consumed when a current 5A flows through the filament of a heater having resistance of 100ohms for two hours? Express it in joules.
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Answered by
1
Given:
Current(I)= 5A
Resistance(R) =100Ω
Time(t) =2h
Power(P) L
2
R
P=(5)
2
×100watt
P=25×100
P=2500watts
P=2.5kW
[1watt=1/1000kW]
Energy consumed E=p×t
[ The electric energy consumed by an electrical appliance is given by the product of its power rating and the time for which it is used.]
E=2.5×2
E=5kWh
The commercial unit of electrical energy is kilowatt hour (kWh).
P=2500watts
P=2.5kW
[1watt=1/1000kW]
E=5×3.6×10
6
J
[1kWh=3.6×10
6
J]
E=18.0×10
6
J
Hence, the energy consumed is 18.0×10
6
J.
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