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
Question: A 3-phase, 15 kV, 4-pole, cylindrical rotor synchronous generator is connected to infinite bus running at 50 Hz. The synchronous reactance of the machine is X s = 0.

Q. Heavy traffic areas in pumps? These are areas around pumps, filters, control valves, PSV's and other equipment requiring frequent maintenance or servicing. Piping attache

An open topped tank with a base area of 1m2 contains a layer of water 0:5m deep below an oil layer 1m deep. If the densities of water and oil are 1000kg=m3 and 850kg=m3 respectivel

Q. Describe about Carbon Steel? Steel having no specified minimum quantity for any alloying element (other than commonly accepted amounts of manganese, silicon, and copper) and

Understanding the Role of Ownership : Before starting a business, entrepreneur should know what is involved in owning a business and what are the roles one will have to play to st

matle cutting

Working Principle of Ignition System: An alternating current (AC) is generated when a magnet moves between two stationary coils. In a magneto, a coil of wires moves between two m

SPECIFIC A TION S:    The boilers are specified as per following parameters : -     Steam Generation Rate : for instance 50 000 kg /hr. -     Maximum Pressure: for

a) An epicyclic gear have three wheels A, B and C. Wheel A has 72 internal teeth, wheel C has 32 external teeth. The wheel B gears with both A and C is carried on an arm which move

An amount of air contained in a rigid container is at  T1 = 300 K.  After adding 450 kJ of heat, the air temperature increases to  T2 = 430 K.  Determine the mass of air,  m [kg],