Skip to the content

onlineexamguide

  • Home
  • Courses
  • Engg. Interview
    • Placement Papers
    • Electrical Engineering
    • Mechanical Engineering
    • Automobile Engineering
    • Civil Engineering
    • Computer Science Engineering
    • Chemical Engineering
  • Online Exam
    • NTA UGC NET Exam
    • SSC Examination quiz
    • TET Examination Quiz
    • Banking Exam
    • Aptitude Tests
    • Computer Knowledge Tests
    • Logical Reasoning Tests
    • English Language Tests
    • Staff Nurse Exams
    • General Knowledge Tests
    • Networking Tests
  • Ghatna Chakra
  • Register
    • Instructor Registration
    • Student Registration
  • User Login
  • Home
  • Courses
  • Engg. Interview
    • Placement Papers
    • Electrical Engineering
    • Mechanical Engineering
    • Automobile Engineering
    • Civil Engineering
    • Computer Science Engineering
    • Chemical Engineering
  • Online Exam
    • NTA UGC NET Exam
    • SSC Examination quiz
    • TET Examination Quiz
    • Banking Exam
    • Aptitude Tests
    • Computer Knowledge Tests
    • Logical Reasoning Tests
    • English Language Tests
    • Staff Nurse Exams
    • General Knowledge Tests
    • Networking Tests
  • Ghatna Chakra
  • Register
    • Instructor Registration
    • Student Registration
  • User Login

Expressions for Quality factor of inductor and capacitor

Quality factor of inductor

Table of Contents

  • Define Quality factor of inductor and capacitor
    • Derive the expressions for Quality factor of inductor and capacitor.
    • Let us derive the expressions for the quality factor of inductor and capacitor.
    • The maximum energy stored per cycle is given by
    • The total energy dissipated / cycle is given by
    • The maximum energy stored per cycle is given by
    • The average power dissipated in capacitor is given by
    • The total energy dissipated per cycle is given by,

Expressions for Quality factor of inductor and capacitor

Define Quality factor of inductor and capacitor

Derive the expressions for Quality factor of inductor and capacitor.

(or)

Write a note on figure of merit.

The resonance phenomenon is observed in ac circuits consisting reactive elements such as inductor and capacitor. These two elements are basic passive elements of energy storing type.

It is found convenient to express the efficiency with which these elements store energy. It is also found simpler to compare various inductors and capacitors in terms of efficiency while designing such circuits. Such efficiency is measured as quality factor. It is also called figure of merit.

The figure of merit or Quality factor is defined as

Quality factor of inductor

 = 2pi – {Maximum energy stored per cycle / Energy dissipated per cycle} 

Let us derive the expressions for the quality factor of inductor and capacitor.

Quality factor of inductor

Consider that sinusoidal voltage V is applied to an inductor with leakage resistance R in series as shown in fig.

The maximum energy stored per cycle is given by

Quality factor of inductor

Where   Im = Peak or maximum value of current in the circuit.

The average power dissipated in inductor is given by

The total energy dissipated / cycle is given by

Energy dissipated / cycle =

Where,        f = frequency of operation.

Thus by definition, the quality factor of inductor is given by,

Quality factor of inductor

Let us consider that sinusoidal voltage V is applied too capacitor with a small resistance R is series as shown in fig.

The maximum energy stored per cycle is given by

Quality factor of inductor

Where Vm = peak or maximum value of applied voltage

The average power dissipated in capacitor is given by

The total energy dissipated per cycle is given by,

Energy dissipated /cycle =

where

f = frequency of operation,

Thus by definition, the quality factor of capacitor is given by,

Quality factor of inductor

Write a comment Cancel reply

You must be logged in to post a comment.

Recent Posts

  • Short Circuit and Open Circuit Test of Synchronous Machine
  • Open circuit characteristics (O.C.C.)
  • Synchronous Generator – Construction & Working Principle
  • Relationship between frequency and speed
  • Alternator and Synchronous Generator EMF Equation
  • Fundamental Principles of A.C. Machines
  • Braking of DC Motor
  • Hopkinson Test
  • Swinburne Test of DC Machine
  • Three Point Starter, Construction and Working Principle
  • Methods for Starting a DC Motor
  • DC Motor Characteristics
  • Types of DC Motor
  • Working of DC Motor
  • DC Motor Principle of operation

onlineexamguide

onlineexamguide.com is the ultimate guide that will keep you updated about almost every Exam & Interviews . We aim to provide our readers with an informative details that have been occurring in Examination . Here at onlineexamguide.com , we focus on delivering our readers with the latest exam Pattern Mock test

We Provide Free online test to practice for Competitive exams , Online Exam, Entrance and Interview. Learn and Practice online test for Free and Prepare for your exam online with us

Quick links

  • About us
  • Privacy Policy
  • Instructor Registration
  • Student Registration
  • Java Programming Tests
  • C programming Tests
  • C++ programming Tests
  • Aptitude Tests

Follow us

Free Online Mock Test

  • UPTET PRIMARY Online Test Series
  • Super TET Mock Test in Hindi 2022
  • CTET Mock Test 2022 Paper 1
  • SSC CHSL Online Mock Test
  • SSC MTS Mock Test 2022
  • SSC CGL Mock Test
  • SSC GD Mock Test
  • ccc online test

Search

Learn and Earn

Register as Instructor - Create and sell online courses and coaching services with the best online platform onlineexamguide.com . Build a course, build a brand, earn money

Contact us

For any queries

Email us on - admin@onlineexamguide.com

We will response fast as much as we can
Copyright © 2022 onlineexamguide.com - All Rights Reserved.
error: Content is protected !!

Insert/edit link

Enter the destination URL

Or link to existing content

    No search term specified. Showing recent items. Search or use up and down arrow keys to select an item.