A current of 11 amps at 240 V flows through an electric range. If it is used an average of one hour per day:
c. What is the cost to run the range for one month (30 days) at 10 cents/kWh?
(Ans: $7.92)
First, we need to calculate the power consumed by the electric range.
Given that the current is 11 amps and the voltage is 240 V, we can use the formula P = VI to find the power.
P = (11 A)(240 V) = 2640 watts
Next, we need to calculate the energy consumed in kilowatt-hours (kWh) over the course of one month.
Energy = Power × Time
Energy = (2640 watts)(1 hour/day)(30 days) = 79200 watt-hours
Since 1 kilowatt-hour (kWh) is equal to 1000 watt-hours, we can convert the energy to kWh.
Energy in kWh = 79200 watt-hours ÷ 1000 = 79.2 kWh
Finally, we can calculate the cost to run the range for one month at a rate of 10 cents/kWh.
Cost = Energy (kWh) × Rate
Cost = 79.2 kWh × $0.10/kWh = $7.92
Therefore, the cost to run the range for one month at 10 cents/kWh is $7.92.