(a) the total reluctance of the flux path (iron plus air gap) (b) the current required to produce a flux density of 0.5 T in the air gap. N=500 turns 0.06 cm A=12 cm? l=50 cm

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Question 3: Figure shows a ferromagnetic core whose mean path length is 50 cm. There is a
small gap of 0.06 cm in the structure of the otherwise whole core. The cross-sectional area of
the core is 12 cm?, the relative permeability of the core is 4000, and the coil of wire on the
core has 500 turns. Assume that fringing in the air gap increases the effective cross-sectional
area of the gap by 5 %. Given this information, find
(a) the total reluctance of the flux path (iron plus air gap)
(b) the current required to produce a flux density of 0.5 T in the air gap.
N=500
turns
B
0.06 cm
A=12 cm?
=50 cm
Transcribed Image Text:Question 3: Figure shows a ferromagnetic core whose mean path length is 50 cm. There is a small gap of 0.06 cm in the structure of the otherwise whole core. The cross-sectional area of the core is 12 cm?, the relative permeability of the core is 4000, and the coil of wire on the core has 500 turns. Assume that fringing in the air gap increases the effective cross-sectional area of the gap by 5 %. Given this information, find (a) the total reluctance of the flux path (iron plus air gap) (b) the current required to produce a flux density of 0.5 T in the air gap. N=500 turns B 0.06 cm A=12 cm? =50 cm
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