Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height h. The rings have inner radius R¡ = 3.2 cm, outer radius R, =9.2 cm, stack height, h = 2.0 cm, air gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases the effective cross-sectional area of the air gap by 5% and the relative permeability µy = 4000, determine: (a) The mean core length l, and the core cross-sectional area A. (b) The reluctance of the core R, and reluctance of the air gap Rg. (c) The current i that required to produce a flux density of B, = 1.25 T at an air gap. (d) If the current i is double from Q1(iii), determine the flux density in the air gap.

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Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height
h. The rings have inner radius R¡ = 3.2 cm, outer radius R, = 9.2 cm, stack height, h = 2.0 cm, air
gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases
the effective cross-sectional area of the air gap by 5% and the relative permeability µ, = 4000,
determine:
(а)
The mean core length l, and the core cross-sectional area A.
(b)
The reluctance of the core R. and reluctance of the air gap R,.
(c)
The current i that required to produce a flux density of Bg
= 1.25 T at an air gap.
(d)
If the current i is double from Q1(iii), determine the flux density in the air gap.
Transcribed Image Text:Q1 The magnetic circuit of Figure Q1(a) consists of rings of magnetic material in a stack of height h. The rings have inner radius R¡ = 3.2 cm, outer radius R, = 9.2 cm, stack height, h = 2.0 cm, air gap, g = 0.05 cm and the number of turns, N = 200 turns. If the fringing in the air gap increases the effective cross-sectional area of the air gap by 5% and the relative permeability µ, = 4000, determine: (а) The mean core length l, and the core cross-sectional area A. (b) The reluctance of the core R. and reluctance of the air gap R,. (c) The current i that required to produce a flux density of Bg = 1.25 T at an air gap. (d) If the current i is double from Q1(iii), determine the flux density in the air gap.
Ro
R
N turns
Figure 1(a)
Transcribed Image Text:Ro R N turns Figure 1(a)
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