In the diagram above, a bulb is lit by drawing 2.0A from 440V a.c. source. Calculate the cost of keeping the bulb on for two days at $0.40 per kilowatt-hour...
In the diagram above, a bulb is lit by drawing 2.0A from 440V a.c. source. Calculate the cost of keeping the bulb on for two days at $0.40 per kilowatt-hour.
Answer Details
To solve this problem, we need to use the formula for electrical energy:
Energy = Power x Time
where Power = Voltage x Current, and Time is in hours.
First, we need to find the power of the bulb. Power = Voltage x Current = 440V x 2.0A = 880W.
Since we want to find the cost of keeping the bulb on for two days, which is 48 hours, we can now find the energy used by the bulb:
Energy = Power x Time = 880W x 48 hours = 42,240 Wh
To convert watt-hours (Wh) to kilowatt-hours (kWh), we need to divide by 1000:
42,240 Wh รท 1000 = 42.24 kWh
Finally, to find the cost of using 42.24 kWh at a rate of $0.40 per kWh, we multiply the two values:
42.24 kWh x $0.40/kWh = $16.90
Therefore, the answer is $16.90.