A current of 11 amps at 240 V flows through an electric range. If it is used an average of one hour per day:
d. What is the cost to run the range for one year (365 days) at 10 cents/kWh?
To find the cost to run the range for one year, we need to calculate the total energy consumed in kilowatt-hours (kWh) and multiply it by the cost per kWh.
First, we calculate the total power consumed by the range by multiplying the current (11 amps) by the voltage (240 V):
Power = Current * Voltage = 11 A * 240 V = 2,640 watts
Since the range is used for one hour per day, the energy consumed per day is equal to the power multiplied by the time:
Energy (per day) = Power * Time = 2,640 W * 1 h = 2,640 watt-hours (Wh)
To convert watt-hours to kilowatt-hours, we divide by 1,000:
Energy (per day in kWh) = 2,640 Wh / 1,000 = 2.64 kWh
Finally, we calculate the total energy consumed in one year by multiplying the energy per day by the number of days in a year:
Total energy (in kWh) = Energy (per day in kWh) * Number of days = 2.64 kWh/day * 365 days = 963.6 kWh
The cost to run the range for one year at 10 cents/kWh is the total energy consumed multiplied by the cost per kWh:
Cost = Total energy * Cost per kWh = 963.6 kWh * $0.10/kWh = $96.36
Therefore, the cost to run the range for one year at 10 cents/kWh is $96.36.