The power consumed by an industrial load is 120 kW at 0.70 PF lagging from a 480 V rms line. I

step 1 In this problem, the value of PL is equal to VRMS multiplication IRMS multiplication PF, which i

The power consumed by an industrial load is 120 kW at 0.70...

The power consumed by an industrial load is $120 \mathrm{~kW}$ at $0.70 \mathrm{PF}$ lagging from a $480 \mathrm{~V}$ rms line. If the transmission line resistance between the generator and the load is $0.14 \Omega$, find the power that must be supplied by the power company.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Power Factor

Power factor is the ratio of the real power used by a load to the apparent power flowing in the circuit. It indicates how effectively the electrical power is being converted into useful work and quantifies the phase difference between voltage and current in AC systems.

Apparent Power

Apparent power is the product of the RMS voltage and current in an AC circuit. It represents the total power that must be supplied by the source and is related to real power through the power factor. Calculating the apparent power is crucial for determining the system's current and for designing components to handle the full load.

Line Losses

Line losses refer to the power dissipated as heat due to the resistance of transmission lines. These losses are typically calculated using the formula I²R, emphasizing that higher currents lead to exponentially greater losses. Understanding line losses is important for ensuring that the supply accounts for both the load power and the energy lost in transmission.

Current Calculation

Determining the current in an AC circuit involves dividing the apparent power by the RMS voltage. This calculated current is vital for assessing the power losses in transmission lines and is used to ensure that the power supplied compensates not only for the load consumption but also for the resistive losses along the line.

Please give Ace some feedback