A heater draws 20 A when connected to a 110-V line. If the electric power costs 20 cents per kilowatt hour, the cost of running the heater for 10 hours is ---?Group of answer choices$1.10$11.00$4.40$0.44
Question
A heater draws 20 A when connected to a 110-V line. If the electric power costs 20 cents per kilowatt hour, the cost of running the heater for 10 hours is ---?Group of answer choices11.000.44
Solution
First, we need to calculate the power of the heater. Power (P) is calculated by multiplying the voltage (V) by the current (I).
P = V * I P = 110V * 20A P = 2200W
Since power is usually measured in kilowatts (kW) for the purpose of calculating electricity costs, we need to convert this to kW.
1 kW = 1000 W, so 2200 W = 2.2 kW
Next, we need to calculate the total energy consumed by the heater in 10 hours. Energy (E) is calculated by multiplying power (P) by time (t).
E = P * t E = 2.2 kW * 10 hours E = 22 kWh
Finally, we can calculate the cost of running the heater for 10 hours. The cost (C) is calculated by multiplying the energy (E) by the cost per kilowatt hour.
C = E * cost per kWh C = 22 kWh * 4.40
So, the cost of running the heater for 10 hours is $4.40.
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