Figure 2 shows a cylindrical iron-clad solenoid actuator which is used for tripping circuit breakers. When the coil current is zero, the plunger drops against a stop such that the gap g is 2.25 cm. When the coil is energized by a direct current of sufficiently large, the plunger is raised until it hits another stop set so that g is 0.2cm. The plunger is supported so that it can move freely in the vertical direction. The radial air gap g1 between the shell and the plunger can be assumed to be uniform and 0.05 cm in length. The exciting coil has 1300 turns and carries a constant current of 2.3 A. Assume that magnetic leakage and fringing in the air gaps and the MMF in the iron are negligible. Obtain the expressions for the flux density, coenery, and force acting on the plunger as a function of air gap length g, and determine the values of force on the

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Author:Stephen L. Herman
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Chapter29: Dc Generators
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Figure 2 shows a cylindrical iron-clad solenoid actuator which is used for tripping circuit breakers. When the coil current
is zero, the plunger drops against a stop such that the gap g is 2.25 cm. When the coil is energized by a direct current of
sufficiently large, the plunger is raised until it hits another stop set so that g is 0.2cm. The plunger is supported so that it
can move freely in the vertical direction. The radial air gap gı between the shell and the plunger can be assumed to be
uniform and 0.05 cm in length. The exciting coil has 1300 turns and carries a constant current of 2.3 A. Assume that
magnetic leakage and fringing in the air gaps and the MMF in the iron are negligible. Obtain the expressions for the flux
density, coenery, and force acting on the plunger as a function of air gap length g., and determine the values of force on the
plunger at g = 2.25 cm and g = 0.2 cm. P.S. The permeability of the free space is 4, = 4 • n • 10-7[H/m].
Transcribed Image Text:Figure 2 shows a cylindrical iron-clad solenoid actuator which is used for tripping circuit breakers. When the coil current is zero, the plunger drops against a stop such that the gap g is 2.25 cm. When the coil is energized by a direct current of sufficiently large, the plunger is raised until it hits another stop set so that g is 0.2cm. The plunger is supported so that it can move freely in the vertical direction. The radial air gap gı between the shell and the plunger can be assumed to be uniform and 0.05 cm in length. The exciting coil has 1300 turns and carries a constant current of 2.3 A. Assume that magnetic leakage and fringing in the air gaps and the MMF in the iron are negligible. Obtain the expressions for the flux density, coenery, and force acting on the plunger as a function of air gap length g., and determine the values of force on the plunger at g = 2.25 cm and g = 0.2 cm. P.S. The permeability of the free space is 4, = 4 • n • 10-7[H/m].
-25 cm-
-20 cm-
Coil
2.5 cm
1,300 turns
Cylindrical
cast steel
20 cm
shell
00 = 1
2.5 cm
Cylindrical
plunger
10 cm-
Figure 2. Solenoid actuator.
bo
Transcribed Image Text:-25 cm- -20 cm- Coil 2.5 cm 1,300 turns Cylindrical cast steel 20 cm shell 00 = 1 2.5 cm Cylindrical plunger 10 cm- Figure 2. Solenoid actuator. bo
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