Question 4 a. Two impedances are connected in parallel to an ac supply of frequency 50 Hz. The first takes a current of 40 A at lagging phase angle of 30° and the second a current of 30 A at a leading phase angle of 45°, i. Draw a phasor diagram to represent the supply voltage, these currents and their resultant ii. Determine the total current taken from the supply and its phase angle i. Give the trigonometric representation of this current

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.17P: Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a)...
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Question 4
a. Two impedances are connected in parallel to an ac supply of frequency 50 Hz. The
first takes a current of 40 A at lagging phase angle of 30° and the second a current of
30 A at a leading phase angle of 45°,
i.
Draw a phasor diagram to represent the supply voltage, these currents and
their resultant
Determine the total current taken from the supply and its phase angle
ii.
iii.
Give the trigonometric representation of this current
b. The load taken from an a.c. supply consists of: (a) a heating load of 15 kW; (b) a
motor load of 40 kV A at 0.6 power factor lagging: (c) a load of 20 kW at 0.8
power factor lagging. Calculate the total load from the supply (in kW and kV A)
and its power factor. What would be the kvar rating of a capacitor to bring the
power factor to unity and how would the capacitor be connected?
Transcribed Image Text:Question 4 a. Two impedances are connected in parallel to an ac supply of frequency 50 Hz. The first takes a current of 40 A at lagging phase angle of 30° and the second a current of 30 A at a leading phase angle of 45°, i. Draw a phasor diagram to represent the supply voltage, these currents and their resultant Determine the total current taken from the supply and its phase angle ii. iii. Give the trigonometric representation of this current b. The load taken from an a.c. supply consists of: (a) a heating load of 15 kW; (b) a motor load of 40 kV A at 0.6 power factor lagging: (c) a load of 20 kW at 0.8 power factor lagging. Calculate the total load from the supply (in kW and kV A) and its power factor. What would be the kvar rating of a capacitor to bring the power factor to unity and how would the capacitor be connected?
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