1.1 A magnetic circuit with a single air gap is shown in Fig. 1.24. The core dimensions are: Cross-sectional area A. = 1.8 x 10-³ m² Mean core length 1c = 0.6 m Gap length g = 2.3 × 10-³ m N = 83 turns N turns Core: mean length l area A permeability Air gap Figure 1.24 Magnetic circuit for Problem 1.1. Assume that the core is of infinite permeability (→→∞o) and neglect the effects of fringing fields at the air gap and leakage flux. (a) Calculate the reluctance of the core Re and that of the gap Rg. For a current of i= 1.5 A, calculate (b) the total flux p. (c) the flux linkages of the coil, and (d) the coil inductance L.

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1.1 A magnetic circuit with a single air gap is shown in Fig. 1.24. The core
dimensions are:
Cross-sectional area Ac = 1.8 x 10-³ m²
Mean core length 1 = 0.6 m
Gap length g = 2.3 x 10-³ m
N = 83 turns
N turns
Core:
mean length le
area A.
permeability
Air gap
Figure 1.24 Magnetic circuit for
Problem 1.1.
Assume that the core is of infinite permeability (→ ∞o) and neglect the
effects of fringing fields at the air gap and leakage flux. (a) Calculate the
reluctance of the core Re and that of the gap Rg. For a current of i = 1.5 A,
calculate (b) the total flux p. (c) the flux linkages of the coil, and (d) the coil
inductance L.
Transcribed Image Text:1.1 A magnetic circuit with a single air gap is shown in Fig. 1.24. The core dimensions are: Cross-sectional area Ac = 1.8 x 10-³ m² Mean core length 1 = 0.6 m Gap length g = 2.3 x 10-³ m N = 83 turns N turns Core: mean length le area A. permeability Air gap Figure 1.24 Magnetic circuit for Problem 1.1. Assume that the core is of infinite permeability (→ ∞o) and neglect the effects of fringing fields at the air gap and leakage flux. (a) Calculate the reluctance of the core Re and that of the gap Rg. For a current of i = 1.5 A, calculate (b) the total flux p. (c) the flux linkages of the coil, and (d) the coil inductance L.
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