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







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