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N bar x N I<sub>g</sub> Consider the iron structure shown. Assume that µ = ? in the iron. The structure has a uniform cross sectional area A = 1.8 cm² in each leg. All the air gaps are the same length with g = 1.5 mm. Neglect fringing effects. Each coil has current i with the directions shown. Each coil has N = 104 turns. What is the air gap reluctance? R<sub>g</sub>[MA turns/Wb]= number (rtol=0.005, atol=1e-08) What is the current i for B = 1.9 T in the center leg? i[A] = number (rtol=0.005, atol=1e-08) What is the flux linkage in the left hand coil when this current is applied? ?[Wb turns]= number (rtol=0.005, atol=1e-08)

          N
bar x
N
I<sub>g</sub>
Consider the iron structure shown. Assume that µ = ? in the iron. The structure has a uniform cross sectional
area A = 1.8 cm² in each leg. All the air gaps are the same length with g = 1.5 mm. Neglect fringing effects.
Each coil has current i with the directions shown. Each coil has N = 104 turns.
What is the air gap reluctance?
R<sub>g</sub>[MA turns/Wb]= number (rtol=0.005, atol=1e-08)
What is the current i for B = 1.9 T in the center leg?
i[A] = number (rtol=0.005, atol=1e-08)
What is the flux linkage in the left hand coil when this current is applied?
?[Wb turns]= number (rtol=0.005, atol=1e-08)

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N
bar x
N
I<sub>g</sub>
Consider the iron structure shown. Assume that µ = ? in the iron. The structure has a uniform cross sectional
area A = 1.8 cm² in each leg. All the air gaps are the same length with g = 1.5 mm. Neglect fringing effects.
Each coil has current i with the directions shown. Each coil has N = 104 turns.
What is the air gap reluctance?
R<sub>g</sub>[MA turns/Wb]= number (rtol=0.005, atol=1e-08)
What is the current i for B = 1.9 T in the center leg?
i[A] = number (rtol=0.005, atol=1e-08)
What is the flux linkage in the left hand coil when this current is applied?
?[Wb turns]= number (rtol=0.005, atol=1e-08)

Added by Dylan A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Kamlesh Goyal

Step 1

The reluctance is given by the formula: Rg = (g * μo) / (A * μ) where g is the length of the air gap, μo is the permeability of free space, A is the cross-sectional area, and μ is the permeability of the iron. Given: g = 1.5 mm = 0.015 cm μo = μ = μo in the Show more…

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Consider the iron structure shown. Assume that Î¼ = Î¼o in the iron. The structure has a uniform cross-sectional area A = 1.8 cm^2 in each leg. All the air gaps are the same length with g = 1.5 mm. Neglect fringing effects. Each coil has current i with the directions shown. Each coil has N = 10^4 turns. What is the air gap reluctance? Rg [A turns/Wb] = number (rtol=0.005, atol=1e-08) What is the current i for B = 1.9 T in the center leg? i [A] = number (rtol=0.005, atol=1e-08) What is the flux linkage in the left-hand coil when this current is applied? X [Wb turns] = number (rtol=0.005, atol=1e-08)

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