() Figure Q2(d)e shows a toroidal core which is made of mild steel and it is wound with insulated wire.The induced magnetomative, force is 3014.3 AT while the circular cross section, A-A'is 300 mm?. Given that that the relative permeability of the mild steel, ur and the freespace permeability, lo are 220 H/m and 47x10-7 H/m, respectively.Sketch the magnetic circuit equivalent circuit of the above toroidal core.(i)Calculate the circumference of the core if the flux flows in the core is 500 µWb.(i)Identify the number of turns, N wound on the core if the current flowing in thecoil is 2.153 A.ViCalculate the airgar length (in the unit of mm) that need to be cut across the toroidal core if theflux produced in the core is 347.7 uWk and the magnetomotixe is 3014.3 AT.turn, NFigure 0?(d)

Note: We are authorized to answer three subparts at a time since you have not mentioned which part…

(e shows a toroidal core which is made of mild steel and it is wound with insulated wire. The induced magnetomotive, force is 3014.3 AT while the circular cross section, A-A' is 300 mm?. Given that that the relative permeability of the mild steel, ur and the free space permeability, Mo are 220 H/m and 4x×10-7 H/m, respectively. (i) Sketch the magnetic circuit equivalent circuit of the above toroidal core. (ii) Calculate the circumference of the core if the flux flows in the core is 500 µWk. (iii) Identify the number of turns, N wound on the core if the current flowing in the coil is 2.153 A.

(e shows a toroidal core which is made of mild steel and it is wound with insulated wire. The induced magnetomotive, force is 3014.3 AT while the circular cross section, A-A' is 300 mm?. Given that that the relative permeability of the mild steel, ur and the free space permeability, Mo are 220 H/m and 4x×10-7 H/m, respectively. (i) Sketch the magnetic circuit equivalent circuit of the above toroidal core. (ii) Calculate the circumference of the core if the flux flows in the core is 500 µWk. (iii) Identify the number of turns, N wound on the core if the current flowing in the coil is 2.153 A.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

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.
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm -30 cm- 7 em 30 ст 7 cm 30 cm -0.07 cm 300 turns 0.05 cm- 7 сm Core depth = 5 cm
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 30 cm- 30 cm 7 cm 30 cm 0.07 cm 300 turns 0.05 cm cm Core depth - 5 cm
A ferromagnetic core is shown in Figure 1. There is a small gap of0.07 cm in the structure of the core and the other dimensions' values of the core are shown in the Figure 1. The depth of the core is 5 cm. The rdative permeability of the core is 850 and has 300 turns of coil wire. Assumethat fringing in the airgap has increased the effective cross-sectional area by 5 percent. a) Draw the magnetic equivalent cireuit. Define all the label in your sketch correctly. b) Calculate the total reluctance, Rrotal of the ferromagnetic core including the air gap. c) If3 A input current is injected to the coil, determine the total flux, Orotal that will be produced. d) Determine the magnetic flux density, B in the air-gap and in the bottom core of the magnetic system. 15 cm 5 cm 10 ст 0.07 cm 5 cm 20 cm 300 tums 10 cm Figure 1: Ferromagnetic Core
A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm 30 cm 30cm- 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Activate Windows Go to Settings to activate Windows. Core depth - 5 cm
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.
A three-legged ferromagnetic magnetic core with the coil dimensions shown below has a of 500 turns wrapped around the right leg. The core relative permeability is 4000 times, The magnetic flux in the left leg of the core has a value of 40 mWb. The center leg has an air gap of 0.8 mm, its fringing effect is neglected. Draw the corresponding magnetic circuit and find the values of the coil current i, and the flux in each leg of the core. cm 10 cm, 25cm 25 cm 10 cm 10 cm 25 cm 0.8 mm 500 turns 10 cm Core depth = 10 cm
(a) Given a magnetic circuit as shown in Figure Q3(a)(i) where the core is a cast steel. B- H curve for the cast steel is shown in Figure Q3(c)(ii). The center limb has a cross- sectional area of 600 mm² and each of the side limbs has a cross sectional area of 450 mm?. A coil of 200 turns is wound on the central limb. Neglect any magnetic leakage and fringing effect. You are required to provide the equivalent Ampere's Cireuital Law model with the detail of the labelling and also investigate the m.m.f. and current values that are required to establish a flux of 8.4 x 104 Wb in the centre limb. mm 250 mm 250 mm 100 mm Figure Q3(a)(i) B (T) 1.6 Sheet steel Cast steel 1.4 1.2 1.0 0.8 Cast iron 0.6 0.4 0.2 H(Alm) 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 Figure Q3(a)(ii) 班

Consider a ferromagnetic ring (nucleus) that has a mean circumference of 40 cm, 300coiled copper turns and a sectional area of 5 cm2. A current of 2 is appliedA to winding, producing a flux of 1.5 mWb.Determine the permeability of the core material.Determine the relative permeability of the core material.If the ferromagnetic ring has an air gap of 2 mm. Find the required MMFso that the flux density in the gap is 0.5 T.
Example(6): A magnetic circuit containing an air gap is shown in Figure below. With the dimension as marked, calculate the current in the coil to establish a flux density of 0.6 T in the air gap. The core has the B - H characteristics. Repeat above but correct for fringing and lamination. Consider SF=0.95, FF 1.08 while is as above. 2 mm) A-5cm²
15. A toroidal core with a mean circumference of 100 cm and a cross sectional area of 10 cm2 is wound with 500 turns of wire. What current would be required to generate a flux of 1 mWb in the core. Assume the core has a relative permeability of 800.
A ferromagnetic core with a relative permeability of 1500 is shown in the Figure. The dimensions are shown in the diagram, and the depth of the core is 5cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of the 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 1.0 A, what are the flux values for the left, center, and right legs of the core? What is the magnetic field in each air gap? |7 cm 7 cm 7 cm to 30 cm 30 cm 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Core depth = 5 cm