Finding the RMS Voltage and Phase Angle of an Input Voltage in a Three-Load Circuit, Study notes of Electrical and Electronics Engineering

The problem statement and necessary information to find the rms voltage (magnitude and phase angle) of an input voltage (vg) in a three-load circuit. The loads have different average powers and magnetizing reactive powers. The figure shows the circuit with resistors, inductors, and voltage sources.

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Pre 2010

Uploaded on 08/19/2009

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EE 320
Lesson 2
In class Problem
11.20 The three parallel loads in the circuit shown in Fig P11.20 can be described as follows:
Load 1 is absorbing an average power of 60 kW and 40 kVAr of magnetizing VArs;
Load 2 is abosorbing an average power of 20 kW and is generating 10 kVAr of magnetizing reactive
power;
Load 3 consists of a 144 ohm resistor in parallel with an inductive reactance of 96 ohms.
Find the rms magnitude and the phase angle of the input voltage Vg, if Vo is 2400 V rms.
Figure P11.20
+
-L1L2L3
j 4 ohm
+
V0 =2400 0 V
-
IS

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EE 320 Lesson 2 In class Problem

11.20 The three parallel loads in the circuit shown in Fig P11.20 can be described as follows:

Load 1 is absorbing an average power of 60 kW and 40 kVAr of magnetizing VArs;

Load 2 is abosorbing an average power of 20 kW and is generating 10 kVAr of magnetizing reactive power;

Load 3 consists of a 144 ohm resistor in parallel with an inductive reactance of 96 ohms.

Find the rms magnitude and the phase angle of the input voltage Vg, if Vo is 2400 V rms.

Figure P11.

- L^1 L^2 L^3

j 4 ohm

V 0 =2400 0 V

I S