A current of 11 amps at 240 V flows through an electric range. If it is used an average of one hour per day:
a. Calculate the power (watts) used by the range in one day.
b. Calculate the energy (kWh) used in a 30-day month.
c. What is the cost to run the range for one month (30 days) at 10 cents/kWh?
d. What is the cost to run the range for one year (365 days) at 10 cents/kWh?
a. The power (watts) used by the range in one day can be calculated using the formula: Power (W) = Current (A) x Voltage (V).
Power = 11 A x 240 V = 2640 W.
b. The energy (kWh) used in a 30-day month can be calculated by multiplying the power by the time used: Energy (kWh) = Power (W) x Time (h) / 1000.
Energy = 2640 W x 1 h / 1000 = 2.64 kWh.
Therefore, the energy used in a 30-day month is 2.64 kWh.
c. The cost to run the range for one month (30 days) at 10 cents/kWh can be calculated by multiplying the energy by the cost per kWh:
Cost = Energy (kWh) x Cost per kWh.
Cost = 2.64 kWh x $0.10/kWh = $0.264.
Therefore, the cost to run the range for one month at 10 cents/kWh is $0.264.
d. The cost to run the range for one year (365 days) at 10 cents/kWh can be calculated in a similar way as above:
Energy = 2.64 kWh x 30 days = 79.2 kWh.
Cost = 79.2 kWh x $0.10/kWh = $7.92.
Therefore, the cost to run the range for one year at 10 cents/kWh is $7.92.