i.Calculate the current that required to produce a flux density of 0.5 T in the centralleg 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. (b)A core with three legs is shown in Figure Q1(b) (i). Its depth is 10 cm, and there are500 turns on the centre leg. The remaining dimensions are shown in the figure. Thecore is composed of a steel having the magnetization curve shown in Figure Q1(b)(ii). Answer the following questions about this core:8 cmN= 500 turns20 cm8 cm- 20 cm-20 cmDepth = 10cmFigure Q1(b) (i) 2.62.42.22.0E 1.81.61.41.21.00.80.60.40.21020 30 40 50100200 300 500100020005000Magnetizing intensity H, A turns/mFigure Q1(b) (ii)Flux density B (T)

Magnetic flux density The magnetic flux density is the number of magnetic field lines passing…

A core with three legs is shown in Figure Q1(b) (i). Its depth is 10 cm, and there are 500 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of a steel having the magnetization curve shown in Figure Q1(b) (ii). Answer the following questions about this core:

A core with three legs is shown in Figure Q1(b) (i). Its depth is 10 cm, and there are 500 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of a steel having the magnetization curve shown in Figure Q1(b) (ii). Answer the following questions about this core:

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter3: Power Transformers

Section: Chapter Questions

Problem 3.1MCQ: The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the...

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The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the product of the core reluctance and the core flux. (a) True (b) False
A ferromagnetic core with a relative permeability of 1500 is shown in the following figure. The depth of the core is 5 cm. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 300 turns in the coil wrapped around the center leg of the core, and if the current in the coil is 1.25 A, find the magnetic flux and the field density in all three legs of the core, as well as the magnetic flux and flux density in the two air gaps.
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 core
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. The Rtotal is found to be 226.192k At/Wb
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.
Below 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.
A square magnetic core has a mean length of 43 cm and a cross-sectional area of120cm2. A coil of 200 turns of wire is wound around one of the columns of the core, thewhich is made of a material whose required magnetic field strength is H=115 Aturns/m. a) How much current is required to produce a flux of 0.012 Wb, in the core?b) What is the relative permeability of the core for that current?c) What is the reluctance?
To a magnetic core, with a relative permeability of 2100, a current I1 of 1 A and a current I2 of 2 A are applied, where the number of turns of the winding is 1000. The depth of the magnetic core is 20 cm. take into account that the bounded measurements are given in centimeters. The air gap shown in the figure is 0.2 cm and has an effective area equivalent to 1.1 times the cross-sectional area of the core. Determine:a) The equivalent circuit with sources and reluctance (Graph it)b) The magnetic flux of the central columnc) Magnetic induction at point Ad) Explain what would happen if the flow of current I1 is reversed
An 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.
The 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)
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?
A DC current I flows in a long solenoidwith n coil-turns per unit length. Thecore is made of iron with permeability µ , and has a cross section area S.Determine the force acting on the coreif it is withdrawn to the position shownin figure.

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i.	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.