2.12. A metallic rod 1.2 m in length and having a mass of 500 gm is suspended by a pair of flexible leads in a magnetic field of 0.9 T as shown in Figure P2.12. Determine the current needed to remove the tension in the supporting leads. 2.13. A uniformly distributed toroidal coil of 400 turns is wound over an iron ring of square cross-section and carries a current of 200 A. The inner radius is 10 cm and the outer radius is 12 cm. The relative permeability of the iron ring is 1500. Determine (a) the flux in the ring, (b) the reluctance of the ring, and (c) the equivalent inductance of the toroid. 2.14. We wish to establish an air-gap flux density of 1.0 T in the magnetic circuit shown in Figure 2.14. If Ag = Am = 40 cm², g = 0.5 mm, m = 1.2 m, N 100 turns, and μ, = 2500, determine the current in the coil using (a) the reluctance concept and (b) the field equations. 2.15. Figure P2.15 shows a magnetic circuit made of a magnetic material for Fixed bar Flexible leads Metal rod Z 1.2 m Figure P2.12 A metal bar suspended with flexible leads.

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use figure 2.12 for question 2.12

2.12. A metallic rod 1.2 m in length and having a mass of 500 gm is suspended
by a pair of flexible leads in a magnetic field of 0.9 T as shown in
Figure P2.12. Determine the current needed to remove the tension in the
supporting leads.
2.13. A uniformly distributed toroidal coil of 400 turns is wound over an iron
ring of square cross-section and carries a current of 200 A. The inner radius
is 10 cm and the outer radius is 12 cm. The relative permeability of the iron
ring is 1500. Determine (a) the flux in the ring, (b) the reluctance of the
ring, and (c) the equivalent inductance of the toroid.
2.14. We wish to establish an air-gap flux density of 1.0 T in the magnetic circuit
shown in Figure 2.14. If Ag = Am = 40 cm², g = 0.5 mm, m = 1.2 m,
N 100 turns, and μ, = 2500, determine the current in the coil using (a)
the reluctance concept and (b) the field equations.
2.15. Figure P2.15 shows a magnetic circuit made of a magnetic material for
Fixed bar
Flexible leads
Metal rod
Z
1.2 m
Figure P2.12 A metal bar suspended with flexible leads.
Transcribed Image Text:2.12. A metallic rod 1.2 m in length and having a mass of 500 gm is suspended by a pair of flexible leads in a magnetic field of 0.9 T as shown in Figure P2.12. Determine the current needed to remove the tension in the supporting leads. 2.13. A uniformly distributed toroidal coil of 400 turns is wound over an iron ring of square cross-section and carries a current of 200 A. The inner radius is 10 cm and the outer radius is 12 cm. The relative permeability of the iron ring is 1500. Determine (a) the flux in the ring, (b) the reluctance of the ring, and (c) the equivalent inductance of the toroid. 2.14. We wish to establish an air-gap flux density of 1.0 T in the magnetic circuit shown in Figure 2.14. If Ag = Am = 40 cm², g = 0.5 mm, m = 1.2 m, N 100 turns, and μ, = 2500, determine the current in the coil using (a) the reluctance concept and (b) the field equations. 2.15. Figure P2.15 shows a magnetic circuit made of a magnetic material for Fixed bar Flexible leads Metal rod Z 1.2 m Figure P2.12 A metal bar suspended with flexible leads.
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