GATE EE 2019 Set 1 — Question 54
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Electromagnetic Fields → Magnetic Circuits & Inductance → Magnetic Circuits & B-H Curve
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Question
The magnetic circuit shown below has uniform cross-sectional area and air gap of . The mean path length of the core is . Assume that leakage and fringing fluxes are negligible. When the core relative permeability is assumed to be infinite, the magnetic flux density computed in the air gap is . With same Ampere-turns, if the core relative permeability is assumed to be (linear), the flux density in tesla (round off to three decimal places) calculated in the air gap is _____.
Correct answer
0.82 to 0.85
Solution
The magnetic flux density in the air gap is given by:Where is the air gap length and is the mean path length of the core.Case 1:
Given , we have .Case 2:
Given , the new flux density is:Rounding off to three decimal places, the flux density is T.
Given , we have .Case 2:
Given , the new flux density is:Rounding off to three decimal places, the flux density is T.
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