In the circuit shown below1. Find average power of the resistor R2. Find value of R3. Find power factor of the voltage sourceK.|= 20 A1 kWatt5 KVARLoad 31 kWatt1 KVARСараcitiveRLoad 1Inductive+V, = 500 20°5 kWatt10 KVARVoltLoad 2Inductive

Answered: 1. Find average power of the resistor R…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

In the circuit shown below
1. Find average power of the resistor R
2. Find value of R
3. Find power factor of the voltage source
K.|= 20 A
1 kWatt
5 KVAR
Load 3
1 kWatt
1 KVAR
Сараcitive
R
Load 1
Inductive
+
V, = 500 20°
5 kWatt
10 KVAR
Volt
Load 2
Inductive

Expert Solution

Step 1

The Complex Power or Apparent Power(S) is given as:

$S = P + j Q$

where P is the Active Power and Q is Reactive Power.

Q is positive for Lagging VARs.

As we know that the inductor absorbs lagging VARs and the capacitor absorbs Leading Vars. Thus, Q is positive for inductive loads and negative for capacitive loads.

Tus, Complex Power(S) for Load1, Load2, and Load3 is:

$S_{1} = 1 k W + j 1 k V A R, S_{2} = 5 k W + j 10 k V A R, S_{3} = 1 k W - j 5 k V A R$

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