A microwave draws 5.0 A when it is connected to a 120 V outlet. If electrical energy costs $0.090 per kW·h, what is the cost of running the microwave for exactly 6 h?
girl bye idk how to do this
Energy = 120 * 5 *6h /1000=3.6 KWh Used
Cost = 3.6kwh * 0.090/kwh = 0.324 or 32.4 Cents.
Why did the microwave go on a diet? It wanted to be a light snack!
To calculate the cost of running the microwave for 6 hours, we first need to determine the power consumption in kilowatts. We can use the formula:
Power (W) = Current (A) * Voltage (V)
So, the power consumption of the microwave is:
P = 5.0 A * 120 V = 600 W
To convert the power to kilowatts, we divide by 1000:
P(kW) = 600 W / 1000 = 0.6 kW
Now, we can calculate the total energy consumption of the microwave over 6 hours:
Energy (kWh) = Power (kW) * Time (h)
Energy (kWh) = 0.6 kW * 6 h = 3.6 kWh
Finally, to find the cost, we multiply the energy consumption by the cost per kilowatt-hour:
Cost = Energy (kWh) * Cost per kWh
Cost = 3.6 kWh * $0.090/kWh = $0.324
So, the cost of running the microwave for exactly 6 hours is approximately $0.324.
To find the cost of running the microwave for 6 hours, we need to calculate the total electrical energy consumed.
First, we need to calculate the power consumed by the microwave:
Power (P) = Voltage (V) x Current (I)
P = 120 V x 5.0 A
P = 600 W (since 1 A = 1 W/V)
Next, we need to calculate the total energy consumed:
Energy (E) = Power (P) x Time (t)
E = 600 W x 6 h
E = 3600 Wh (since 1 kW·h = 1000 Wh)
Now we can calculate the cost of running the microwave:
Cost = Energy (E) x Cost per kWh
Cost = 3600 Wh x $0.090/kWh
Cost = $0.324
Therefore, the cost of running the microwave for exactly 6 hours is $0.324.
To find the cost of running the microwave for 6 hours, you need to calculate the electrical energy consumed by the microwave and then multiply it by the cost per kilowatt-hour (kW·h).
First, let's find the total electrical energy consumed by the microwave:
The formula for electrical energy is given by: Energy (in kilowatt-hours) = Power (in kilowatts) x Time (in hours)
We know that the power (P) of the microwave is given by P = V x I, where V is the voltage and I is the current.
Given:
Voltage (V) = 120 V
Current (I) = 5.0 A
Time (t) = 6 hours
Let's calculate the power (P) first:
P = V x I = 120 V x 5.0 A = 600 W = 0.6 kW (since 1 kW = 1000 W)
Now, we can calculate the electrical energy (E) consumed:
E = P x t = 0.6 kW x 6 hours = 3.6 kW·h
Next, we'll find the cost of running the microwave:
The cost of electrical energy is given as $0.090 per kilowatt-hour (kW·h).
Cost = Energy x Cost per kW·h
Cost = 3.6 kW·h x $0.090/kW·h
Cost = $0.324
Therefore, the cost of running the microwave for exactly 6 hours is $0.324.