A magnetic circuit with a single air gap is shown in Fig. 1.27. The core dimensions are Cross-sectional Area Ac = 3.5 cm² Mean core length le Gap length g = 2.4 mm N = 95 turns Assume that the core is of infinite permeability (µ → ∞) and neglect the effects of fringing fields at the air gap and leakage flux. (a) Calculate the reluctance of the core Rc and that of the gap Rg. For a current of i = 1.4 A, calculate (b) the total flux ø, (c) the flux linkages A of the coil, and (d) the coil inductance L. = 25 cm

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A magnetic circuit with a single air gap is shown in Fig. 1.27. The core
dimensions are
Cross-sectional Area Ac
Mean core length le = 25 cm
Gap length g
3.5 cm2
= 2.4 mm
||
N = 95 turns
Assume that the core is of infinite permeability (µ → ∞) and neglect the
effects of fringing fields at the air gap and leakage flux. (a) Calculate the
reluctance of the core Rc and that of the gap Rg. For a current of i = 1.4 A,
calculate (b) the total flux ø, (c) the flux linkages 2 of the coil, and (d) the coil
inductance L.
Core:
mean length l
+ o
area Ac,
permeability u
Coil:
N turns
Air gap
Figure 1.27 Magnetic circuit for Problem 1.1.
Transcribed Image Text:A magnetic circuit with a single air gap is shown in Fig. 1.27. The core dimensions are Cross-sectional Area Ac Mean core length le = 25 cm Gap length g 3.5 cm2 = 2.4 mm || N = 95 turns Assume that the core is of infinite permeability (µ → ∞) and neglect the effects of fringing fields at the air gap and leakage flux. (a) Calculate the reluctance of the core Rc and that of the gap Rg. For a current of i = 1.4 A, calculate (b) the total flux ø, (c) the flux linkages 2 of the coil, and (d) the coil inductance L. Core: mean length l + o area Ac, permeability u Coil: N turns Air gap Figure 1.27 Magnetic circuit for Problem 1.1.
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