The subject of this question is Physics, and it involves calculating the effective resistance of an air conditioning unit and the cost of running the unit for a month.
The effective resistance can be calculated using the voltage and power consumed by the unit, while the cost can be calculated using the power, time, and electricity cost per kW.h.
The subject of this question is Physics, as it involves the operation and cost calculation of an air conditioning unit.
In order to determine the effective resistance of the air conditioning unit, we can use the formula:
Resistance (R) = Voltage (V) squared / Power (P)
Given that the unit operates on 408-V AC and consumes 50.0 kW of power, we can calculate:
- Resistance (R) = (408 V)^2 / 50.0 kW = 3342.24 ohms
To calculate the cost of running the air conditioner during a hot summer month, we can use the formula:
Cost = Power (P) x Time (t) x Electricity Cost per kW.h
Given that the air conditioner is on 8.00 h per day for 30 days and the electricity cost is 9.00 cents/kW.h, we can calculate:
- Cost = 50.0 kW x 8.00 h/day x 30 days x 9.00 cents/kW.h = $10,800