an electric heater draws 5A of current from the 120-V power line. How much will it cost to run this heater for one day if the cost of energy is 10 cents
The cost is 10 cents/per what?
To calculate the cost of running the electric heater for one day, we need to determine the total amount of energy consumed in kilowatt-hours (kWh) and then multiply it by the cost per kWh.
First, let's convert the power of the heater from amperes (A) to watts (W) using Ohm's law: Power (W) = Current (A) × Voltage (V).
Power (W) = 5 A × 120 V = 600 W.
To convert the power from watts to kilowatts (kW), we divide by 1000: Power (kW) = 600 W ÷ 1000 = 0.6 kW.
Next, we need to determine the total energy consumed in kilowatt-hours (kWh). Since power (P) is the rate at which energy is consumed (P = E ÷ t), and we want to find the energy (E) consumed over one day (t = 24 hours), we can rearrange the formula: E = P × t.
Energy (kWh) = Power (kW) × Time (hours) = 0.6 kW × 24 hours = 14.4 kWh.
Finally, we multiply the energy (14.4 kWh) by the cost per kilowatt-hour (10 cents) to find the total cost: Cost = Energy × Cost per kWh.
Cost = 14.4 kWh × $0.10/kWh = $1.44.
Therefore, it will cost $1.44 to run this electric heater for one day if the cost of energy is 10 cents per kilowatt-hour.