Electric Machinery and Power System Fundamentals
1st Edition
ISBN: 9780072291353
Author: Stephen J. Chapman, Stepehn J. Chapman
Publisher: McGraw-Hill Companies, The
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Chapter 1, Problem 1.14P
A two-legged magnetic core with an air gap is shown in Figure P1-11. The depth of the core is 5 cm, the length of the air gap in the core is 0.05 cm, and the number of turns on the coil is 1000. The magnetization curve of the core material is shown in Figure P 1-9. Assume a 5 percent increase in effective air-gap area to account for fringing. How much current is required to produce an air-gap flux density of 0.5 T? What are the flux densities of the four sides of the core at that current? What is the total flux present in the air gap?
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Consider the magnetic circuit in figure. A current of (3A) flowsthrough 200 turns of wire around a core of cross sectional aea of10-3 m2 and a relative permeability of 5000.a) Determine the magnetic flux in each legb) Determine the magnetic field intensity in the air gapc) Determine the magnetic force on the across the air gap
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.
Q1.
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.
Chapter 1 Solutions
Electric Machinery and Power System Fundamentals
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- A core with three legs is shown in the figure below. Its depth is 5 cm, and there are 400 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of steel having the magnetization curve is also given below. Answer the following questions about this core: 1. What current is required to produce a flux density of 0.5 T in the central leg of the core? 2. 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)? 3. What are the reluctances of the central and right legs of the core under the conditions in part (a)? 4. What are the reluctances of the central and right legs of the core under the conditions in part (b)? 5. What conclusion can you make about reluctances in real magnetic cores?arrow_forwardThe magnetic structure shown in the figure is built with a material whose magnetization curve is expressed by: (See image with the equation) The length of the mean magnetic path in the core is equal to 0.75 m. The measurements of the cross section are 6 × 8 cm 2. The length of the air gap is 2 mm and the flux in it is equal to 4 mWb (in the direction indicated in the Figure). Determine the number of turns in coil B. Ans: NB =1,237 turns (I need the procedure)arrow_forwardIn 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.arrow_forward
- In 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_forwardAn iron-cored choke is designed to have an inductance of 12.5 H when operating at a flux density 3 T, the corresponding relative permeability of iron core is 1500. Determine the number of turns in the winding, given that the magnetic flux path has a mean length of 20 cm in the iron core and 2 mm in air-gap that its cross-section is 15 cm2. * ROUNDING OFF is ALLOWED only in the final answers expressed up to FIVE (5) DECIMALPLACES.arrow_forwarda. If the material is the ideal material, N1I1 = 200, NIA = 100 and NIB = 150 If I am ampersand, what is the flux density in the middle of the air gap? okay? Calculate by drawing the magnetic circuit. b. If the material is not the ideal material (µr), the core material of each winding Find the inductance in terms of parameters c. What is mutual inductance between windings? D. Check the magnetic equivalent circuit of this system that there are no leakage fluxes. draw assuming. New magnetic with leakage fluxes in mind How about a circuit, draw?arrow_forward
- For the magnetic circuit shown in the figure, the iron core with N = 500 turns -Magnetic permeability is 200. its average length is 40 cm -The diameter of the cross-sectional area is 1 cm. Find the current that must pass through the winding to produce 0.5 mWb of flux in a 1mm air-gap magnetic circuit?arrow_forwardBelow 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_forwardBelow is the magnetic circuit with two windings and two air gaps. The cross-sectional area is constant in the parts of the air gaps and within the whole core and is shown with Ac. g1 = 1 mm, g2 = 0.5 mm, Ac = 200 mm2, i1 = 5 A, i2 = 3 A, N1 = 100, N2 = 50. Also, the magnetic permeability of the core can be accepted as μr = ∞. According to this information, a) Magnetic flux density in the air gaps,a) Self inductance of the windings, b) Calculate the mutual inductances between the windings.arrow_forward
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