The load requires 60 kW with a power factor of 0.85 leading. The load voltage is 220 V rms at 60 Hz, and the transmission line impedance is 0.12 + j0.18 Ω. Calculate the line voltage and power factor at the input end. The answer is : Vin=284.6∠(5.8°) V rms, pfin=0.792 lagging.

The load requires 60 kW with a power factor of 0.85 leading. The load voltage is 220 V rms at 60 Hz, and the transmission line impedance is 0.12 + j0.18 Ω. Calculate the line voltage and power factor at the input end. The answer is : Vin=284.6∠(5.8°) V rms, pfin=0.792 lagging.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter23: Resistive-inductive-capacitive Series Circuits

Section: Chapter Questions

Problem 7PP: Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.

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Single Phase AC Circuit

Alternating Current (AC) is a type of electric power in which the electric current changes, both in magnitude and direction, at regular intervals. This AC Circuits can deliver power in either a Single Phase system or a Three Phase system.

Question

Problem : The load requires 60 kW with a power factor of 0.85 leading. The load voltage is 220 V rms at 60 Hz, and the transmission line impedance is 0.12 + j0.18 Ω. Calculate the line voltage and power factor at the input end.

The answer is : V_in=284.6∠(5.8°) V rms, pf_in=0.792 lagging.

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