To determine the current the air conditioner will take from a 120V outlet, we can use the formula:
Current (in amperes) = Power (in watts) / Voltage (in volts)
First, let's calculate the power consumed by the air conditioner:
Power = Cost / Time
In this case, the cost of operation is $50 per 30 days, which means the air conditioner consumes $50 worth of electricity in 30 days.
Power = $50 / 30 days
Now, we need to convert the power consumed to watts. Since the power consumption is given in terms of cost and time, we need to use the cost of electricity per kWh.
1 kWh = 1000 watts
The electricity cost is $0.090 per kWh, so we can calculate the power in watts as follows:
Power (in watts) = Power (in kWh) * Conversion factor
Power (in kWh) = Cost / (Electricity cost per kWh)
Power (in watts) = ($50 / 30 days) * (1000 watts / 1 kWh) * ($0.090 / 1 kWh)
Next, we can substitute the power value into the current formula:
Current (in amperes) = Power (in watts) / Voltage (in volts)
Current (in amperes) = (Power (in watts)) / 120 V
Substitute the calculated power value:
Current (in amperes) = (Power (in watts)) / 120 V
Perform the calculations to find the current drawn by the air conditioner from a 120V outlet.