Air gap Figure 1 A 1000-turn coil is wound on the centre limb of a steel frame as shown on figure1 above. At operating flux densities, the magnetic field intensity in the outer limbs is 500A/m while at the operating flux density the field intensity in the centre (inner) limb is 900A/m. The cross-sectional area of each limb is 15cm2. Length of the centre limb is 25cm, air-gap is 1mm while total outer length(two equal branches) is 50cm. Neglect the effects of magnetic leakage and for an operating flux density of 1T in the central limb: a. Calculate the relative permeability of the inner and outer limbs b. Determine the current flowing in the coil

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I
Air gap
12
G
Figure 1
A 1000-turn coil is wound on the centre limb of a steel frame as shown on figure1 above. At operating flux
densities, the magnetic field intensity in the outer limbs is 500A/m while at the operating flux density the
field intensity in the centre (inner) limb is 900A/m. The cross-sectional area of each limb is 15cm2. Length
of the centre limb is 25cm, air-gap is 1mm while total outer length(two equal branches) is 50cm. Neglect the
effects of magnetic leakage and for an operating flux density of 1T in the central limb:
a. Calculate the relative permeability of the inner and outer limbs
b. Determine the current flowing in the coil
Transcribed Image Text:I Air gap 12 G Figure 1 A 1000-turn coil is wound on the centre limb of a steel frame as shown on figure1 above. At operating flux densities, the magnetic field intensity in the outer limbs is 500A/m while at the operating flux density the field intensity in the centre (inner) limb is 900A/m. The cross-sectional area of each limb is 15cm2. Length of the centre limb is 25cm, air-gap is 1mm while total outer length(two equal branches) is 50cm. Neglect the effects of magnetic leakage and for an operating flux density of 1T in the central limb: a. Calculate the relative permeability of the inner and outer limbs b. Determine the current flowing in the coil
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