Give the expression for inductance., Mechanical Engineering

Q. Give the expression for inductance of a ?N?   turn coil wound on a core having length I cross - sectional area A and magnetic permeability µ. Explain the significance of different terms involved.

Ans. 

Let an inductor L with turns N is wound over a core. In an ideal inductor, as we all know, no power loss take place therefore, we must use a very good magnetic material having B-H loop areas, also the operating point lies in the liner zone of B-H character, in order to get a constant value of inductance i.e. µr may be constant.

 

                        Let the lamination thickness is extremely small & core material has a very high resistivity ρ.

 

                       Let φ be the flux when current I flows through the coil

 

                       Then  total flux linkage = Nφ

 

                       Inductance               L = Nφ/i

 

                                                          = NBA/I, φ = B × A

 

                                                          = NµoµrHA, B = µoµrH

 

                                                          =  µoµr NHA/I = µoµrN. Ni/1 A/i

 

                           Let                  H = Ni/L

 

                                                  L = µoµr N2A/I

Posted Date: 7/23/2012 1:05:11 AM | Location : United States







Related Discussions:- Give the expression for inductance., Assignment Help, Ask Question on Give the expression for inductance., Get Answer, Expert's Help, Give the expression for inductance. Discussions

Write discussion on Give the expression for inductance.
Your posts are moderated
Related Questions
Explain the importance of Hydraulic paver machine In the center of the augers is a gear box. Kick back paddles are used to "tuck" mix under the gear box. If the paddles were n

A jet strikes tangentially a smooth curved vane moving in the similar direction as the jet, and the jet gets reversed in the direction. Prove that the maximum efficiency is slightl

VISUAL REALISM: Hidden line and surface removal eliminates the ambiguities of the displays of three-dimensional models and is considered the first step toward visual realism.

ELECTRO SLAG WELDING   This process is similar to the electro gas welding process designed for making butt welding in the vertical position in one single pass and the plate


Military and Civil Aircraft: Military aircraft can be of several types such as : (a) Cargo carriers, with capacity to carry heavy loads, such as trucks and tanks. (b) Fi

Steps for solving the problems when more than two coplanar forces are acting on the rigid body: The steps are as; 1. Check the Problem for the concurrent or Non concurren

example of 2nd corollary of first law of thermodynamics

Define the term Miller Indices. Miller Indices are a process of explaining the orientation of a plane or set of planes into a lattice within relation to the unit cell. They wer

Q. Air-Gas Cross-Limiting and Air-Gas Ratio Control? The Steam Generator firing demand signal is directed to two discrete signal selectors. A low signal selector ensures that