Electric machinery fundamentals
5th Edition
ISBN: 9780073529547
Author: Chapman, Stephen J.
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 1, Problem 1.13P
A core with three legs is shown in Figure P1-10. Its depth is 5 cm, and there are 400 turns on the center leg. The remaining dimensions are shown in the figure. The core is composed of a steel having the magnetization curve shown in Figure 1-10c. Answer the following questions about this core:
- What current is required to produce a flux density of 0.5 T in the central leg of the core?
- What current is required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in part (a)?
- What are the reluctances of the central and right legs of the core under the conditions in part (a)?
- What are the reluctances of the central and right legs of the core under the conditions in part (b)?
- What conclusion can you make about reluctances in real magnetic cores?
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Q4)
A square magnetic core has a mean path length 55cm and x-sectional area of 150cm2. A 200 turns coil of wire is wrapped around one leg of the core. The core is made of the material having relative permeability 3980.
Find
• How much current is required to produce 0.012 Wb of flux in the core
• Calculate the reluctance and magnetomotive force.
In the magnetic circuit in the figure, the relative with a magnetic permeability of 2000 the cross-sectional area of the core is constant and 1 [m2 ] is. middle arm (AB) Find the magnetic flux.
For the electromagnet of Figure-a. Find the flux density in the core.b. Sketch the magnetic flux lines and indicate theirdirection.c. Indicate the north and south poles of the magnet.
Chapter 1 Solutions
Electric machinery fundamentals
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- Below you can find a ferromagnetic core and its magnetization curve. If i1=0.4 A and i2= 0.9A, find magnetic flux in the core and the relative permeability under these conditions.arrow_forwardQ1. A core with three legs is shown in Figure. Its depth is 5 cm, and there are 100 turns on the leftmost leg. The relative permeability of the core can be assumed to be 2000 and constant. What flux exists in each of the three legs of the core? What is the flux density in each of the legs? Assume a 5% increase in the effective area of the air gap due to fringing effects.arrow_forwardi. Calculate the current that required to produce a flux density of 0.5 T in the central leg of the core. ii. Calculate the current that required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in Q1(b) (i). iii. Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (i). iv. Calculate the reluctances of the central and right legs of the core under the conditions in Q1(b) (ii). v. Explain the conclusion that you can make about reluctances in real magnetic cores.arrow_forward
- A ferromagnetic core is shown in Fig.1. The depth of the core is 7,5 cm and material relative magnetic permeability is 800. The number of the turns is 500. The sizes of the core are given in the Figure. Air Magnetic permeability is μ0= 4π x 10-7. What is the reluctance of this core in kiloH-1 ?arrow_forwardThe length of a magnetic circuit in a moving iron instrument is 300mm.The coil around the soft iron core has 360 turns and takes a current of 1.75A.The core is square in section with sides of 20mm.Take the relative permeability of soft iron as 1100. Determine the magnetomotive force in the core. Determine the field strength. Determine the flux density. Determine the total flux.arrow_forwardshow thatvthis is a magnetic flux density: then prove and interpret it with reasons on each steparrow_forward
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- 1) A ferromagnetic core is shown in Figure 1. The relative permeability of the core isassumed to be 2500 and constant. There is a 5% increase in the effective area ofthe air gap due to fringing effects. The depth of the core is given as 5 cm.a) Calculate the total reluctance, total, of the corearrow_forwardIn the figure is shown a current of 50 A in a wire 120 cm long and at an angle of 45° to a magnetic field of flux density 6.0 x 10 -4 Wb/m2. What are the magnitude and direction of the force on this wire?arrow_forwardIn figure, a magnetic flux of F is generated with a constant current of i. The core material used has a relative permeability of 4000. Assuming that the mean cross sectional area that the magnetic flux passing through in core is A=4 [cm2] and there is no fringing in air gap, N= 1000 turns and i=10 [A], lair=2 [mm]. what is the reluctance in air gap? what is the total reluctance? what are the flux and flux density in air gap? Remember: µ0 = 4πx10-7arrow_forward
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