A magnetic core with an air gap is shown below. For a relative permeability is 3500, and the space free permeability is 4πx 107 H/m, find the reluctance of the gap, assuming a 4 percent increase in the effective air-gap area to account for fringing. 5 cm gap 0.15 cm 5 cm 40 cm 5 cm 20 cm N Answer: core depth = 10 cm Rop KA.t./Wb. 15 cm

A magnetic core with an air gap is shown below. For a relative permeability is 3500, and the space free permeability is 4πx 107 H/m, find the reluctance of the gap, assuming a 4 percent increase in the effective air-gap area to account for fringing. 5 cm gap 0.15 cm 5 cm 40 cm 5 cm 20 cm N Answer: core depth = 10 cm Rop KA.t./Wb. 15 cm

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...

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For the following magnetic core with an air gap and dimensions as shown in the figure. The depth of the core is 10 cm: 5 cm 25 cm 5 cm 15 cm Sm 5 cm Sm a) Find the reluctance of the core. The relative permeability 4, 2000. Hint: use depth to find the area. b) If the fringing effect increases the effective area of the air gap by 5% (from the area of the core), find the reluctance of the air gap. c) If the number of turns in the coil are N = 500, find the current i required to produce a magnetic field B, = 0.2 T in the air gap. %3D
A magnetic core with an air gap is shown below. For a relative permeability is 3500, and the space free permeability is 4TTX10-7 H/m. Find the reluctance of the left leg and the top side of the core. Ignore the gap in your calculations. 10 cm 0.1 cm gap 20 cm 5 cm 5 cm 40 cm 5 cm core depth = 10 cm Select one: O a. Rieft = 1251 A.t./Wb , Rtop = 1023 A.t/Wb O b. None O c. Rieft = 12.51 KA.t./Wb , Reop = 10.23 KA.t/Wb O d. Rieft = 125.1 A.t./Wb , Rtop = 102.3 A.t/Wb
Amagnetic field is being generated by a current of 2.0A flowing through 180 turns of wire on a core having a reluctance of 210000.0 At/Wb. Determine the flux of the circuit in mWb.
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. 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
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
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
the depth of the solid core is 5 cm. Assume that the relative permeability of the core is 1000 and remains constant and that the current in the coll is 4 A. ignore the fringing effects at the air gap and find the following
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 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
4. A two-legged magnetic core with an air gap is shown in figure below. The depth of the core is 5 cm, the length of the air gap in the core is 0.07 cm, and the number of turns on the coil is 500. The magnetization curve of the core material is shown next to it. 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? 10 cm 1.25 1.00 0.75 N- 500 tums 0.07 cm : 30 cm 0.50 0.25 10 cm 0.0 100 1000 30 cm Magnetizing intensity, A turns/m Depth = 5 cm [0.00131 Wb, 0.524 T, 0.262 T, 1.46 A] Flux density, T