1. A magnetic circuit with a single air gap is shown in Figure below. The core dimensions are: Cross - sectional area Ac = 1.8 x 10 m2 Mean core length lc = 0.6 m %3D Air gap length , = 2.3 x 103 %3D N = 83 turns Core: mean length 1 area Ae permeability u N turms Air gap Assuming the core is of infinite permeability ( u = 0 ) and neglecting the effects fringing; !! a) Calculate the reluctance of the core Re and that of the air gap Rg b) For a current of I = 1.5A, calculate the total flux o, flux density B and the coil inductance. %3D c) Repeat a and b for a finite core permeability of µ = 2500Ho.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.1MCQ: The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the...
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1. A magnetic circuit with a single air gap is shown in Figure below. The core
dimensions are:
Cross - sectional area Ac = 1.8 x 10 m2
Mean core length lc = 0.6 m
%3D
Air gap length l, = 2.3 x 103
%3D
N = 83 turns
Core:
mean length 1
area Ae
permeability u
N tums
Air gap
Assuming the core is of infinite permeability ( u = 0 ) and neglecting the effects of
fringing;
a) Calculate the reluctance of the core Re and that of the air gap Rg
b) For a current of I = 1.5A, calculate the total flux o, flux density B and the coil
inductance.
%3D
c) Repeat a and b for a finite core permeability of µ = 2500Ho.
Transcribed Image Text:1. A magnetic circuit with a single air gap is shown in Figure below. The core dimensions are: Cross - sectional area Ac = 1.8 x 10 m2 Mean core length lc = 0.6 m %3D Air gap length l, = 2.3 x 103 %3D N = 83 turns Core: mean length 1 area Ae permeability u N tums Air gap Assuming the core is of infinite permeability ( u = 0 ) and neglecting the effects of fringing; a) Calculate the reluctance of the core Re and that of the air gap Rg b) For a current of I = 1.5A, calculate the total flux o, flux density B and the coil inductance. %3D c) Repeat a and b for a finite core permeability of µ = 2500Ho.
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