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)

1 answer

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.