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Fig. P3.4 shows an electromagnet system for lifting a section of steel channel. The coil has 600 turns. The reluctance of the magnetic material can be neglected up to a flux density of 1.4 tesla. (a) For a coil current of 15A (dc), determine the maximum air gap g for which the flux density is 1.4 tesla. (b) For the air gap in part (a), determine the force on the steel channel. (c) The steel channel has a mass of 1000 kg. For a coil current of 15 A, determine the largest gap at which the steel channel can be lifted magnetically against the force of gravity (9.81 m/sec²).

Fig. P3.4 shows an electromagnet system for lifting a section of steel channel. The coil has 600 turns. The reluctance of the magnetic material can be neglected up to a flux density of 1.4 tesla. (a) For a coil current of 15A (dc), determine the maximum air gap g for which the flux density is 1.4 tesla. (b) For the air gap in part (a), determine the force on the steel channel. (c) The steel channel has a mass of 1000 kg. For a coil current of 15 A, determine the largest gap at which the steel channel can be lifted magnetically against the force of gravity (9.81 m/sec²).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Electromagnet System for Lifting Steel Channels** **Description:** Fig. P3.4 illustrates an electromagnet system designed to lift a section of steel channel. The coil has 600 turns. The reluctance of the magnetic material can be disregarded up to a flux density of 1.4 tesla. **Tasks:** (a) For a coil current of 15A (direct current), calculate the maximum air gap (*g*) for which the flux density is 1.4 tesla. (b) Determine the force acting on the steel channel for the air gap in part (a). (c) Given the steel channel has a mass of 1000 kg, for a coil current of 15A, determine the largest gap at which the steel channel can be magnetically lifted against the force of gravity (9.81 m/sec\(^2\)).
Transcribed Image Text:**Electromagnet System for Lifting Steel Channels** **Description:** Fig. P3.4 illustrates an electromagnet system designed to lift a section of steel channel. The coil has 600 turns. The reluctance of the magnetic material can be disregarded up to a flux density of 1.4 tesla. **Tasks:** (a) For a coil current of 15A (direct current), calculate the maximum air gap (*g*) for which the flux density is 1.4 tesla. (b) Determine the force acting on the steel channel for the air gap in part (a). (c) Given the steel channel has a mass of 1000 kg, for a coil current of 15A, determine the largest gap at which the steel channel can be magnetically lifted against the force of gravity (9.81 m/sec\(^2\)).
**Transcription for Educational Website:** ### Figure P3.4: Electromagnetic Solenoid Diagram This figure illustrates the design of an electromagnetic solenoid, which is a crucial component in various electrical applications. The solenoid consists of a coil with 600 turns, arranged around a central core. #### Diagram Details: - **Dimensions:** - The outer segments of the solenoid casing have dimensions of 8 cm each on the top and bottom sections. - The overall height of the solenoid, including the casing, is 40 cm. - The central section where the coil is wound measures 16 cm across. - The solenoid has a total depth of 80 cm, which allows space for the coil winding and core. - **Coil Winding:** - The coil is wound with 600 turns, as indicated in the diagram. - Current \( i \) flows through the coil, inducing a magnetic field. - **Structural Support:** - The top structure is supported and fixed, as shown by the hatched pattern, which symbolizes a solid support that keeps the solenoid in place. - **Gaps (g):** - These are unspecified in the diagram but are typically important for understanding magnetic flux distribution and core movement, if any. This detailed schematic allows students and educators to understand the mechanical and electrical layout of an electromagnetic solenoid, facilitating analysis of its functionality and potential applications.
Transcribed Image Text:**Transcription for Educational Website:** ### Figure P3.4: Electromagnetic Solenoid Diagram This figure illustrates the design of an electromagnetic solenoid, which is a crucial component in various electrical applications. The solenoid consists of a coil with 600 turns, arranged around a central core. #### Diagram Details: - **Dimensions:** - The outer segments of the solenoid casing have dimensions of 8 cm each on the top and bottom sections. - The overall height of the solenoid, including the casing, is 40 cm. - The central section where the coil is wound measures 16 cm across. - The solenoid has a total depth of 80 cm, which allows space for the coil winding and core. - **Coil Winding:** - The coil is wound with 600 turns, as indicated in the diagram. - Current \( i \) flows through the coil, inducing a magnetic field. - **Structural Support:** - The top structure is supported and fixed, as shown by the hatched pattern, which symbolizes a solid support that keeps the solenoid in place. - **Gaps (g):** - These are unspecified in the diagram but are typically important for understanding magnetic flux distribution and core movement, if any. This detailed schematic allows students and educators to understand the mechanical and electrical layout of an electromagnetic solenoid, facilitating analysis of its functionality and potential applications.
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