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problem 1: the magnetic core shown in the figure has the
following parameters
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Question 7 A magnetic core is shown in Figure 1. Relative permeability of the core is...
Question 7 A magnetic core is shown in Figure 1. Relative permeability of the core is 14 = 2000. Total number of winding turns in the left winding is NL = 100 and in the right winding is Nr = 10. Assume that the core cross section is uniform and the combined length of all air-gaps is much smaller than the dimensions of the core cross-section. Calculate the following: a) The magnetomotive force in the core if i = 2...
3.20 points - Magnetic circuit: A two-legged ferromagnetic core with relative permeability of 1500 is shown...
3.20 points - Magnetic circuit: A two-legged ferromagnetic core with relative permeability of 1500 is shown in the figure with its dimensions. Find the following: 1. Self and mutual inductances of the two windings with 400 and 300 turns. 2. What current will produce flux density of 1T in the core, if the first (left) winding with 400 turns is energized and the second winding is left open. 3. The rms voltage across the first winding, assuming the energizing source...
The following magnetic circuit has an infinitely permeable magnetic core. The parameters are given in the...
The following magnetic circuit has an infinitely permeable magnetic core. The parameters are given in the figure. Suppose Il=12A, 12=5 A and 13=8 A. a) Determine the flux densities (B1, B2 , B3) in each of the air gaps gl, g2, and g3. b) find the inductance matrix as follow: 4 42 43 L=121 122 123 L31 132 133 d) Find the total energy which is stored in the system. 81 = 5 mm 82 = 5 mm 83 =...
question 6 please 5. ucta Using the results of the previous problem (7.4), derive the following self - inductance parame...
question 6 please
5. ucta Using the results of the previous problem (7.4), derive the following self - inductance parameters; a) The magnetic flux density B inside the solenoid of length h and magnetic material u on the interior b) The total flux Φ tot-J B-dS on the interior loop of a solenoid c) The flux linkage linking all of the loops of the structure d) The self-inductance L of the solenoid e) Now for a fine magnet wire (copper...
A single phase transformer core, for use in a 50Hz electrical network, has the following magnetic...
A single phase transformer core, for use in a 50Hz electrical network, has the following magnetic characteristic Flux Density B Magnetic Field Strength H Total Core Loss 0.8 1.28 1.68 2.09297RMS Ampere-Turns/cm 1.23 1.85 2.2 2.73 Watts/k 1.0 1.1 1.2 Tesla The core has a cross-sectional area of 175cm2, the mean magnetic path length is 160cm and the density of the core material is 7.5gm/cm3. (a) If a no-load voltage ratio of 6600/231 is required, choose a suitable number of...
A three-legged circular core is shown in figure below. The winding on the middle leg of the core (𝑁) has 500 turns. The depth of the core is 10 cm. If the dimensions are as shown, then
Question: 01 (9 Points)
A three-legged circular core is shown in figure below. The winding on the middle leg of
the core (𝑁) has 500 turns. The depth of the core is 10 cm. If the dimensions are as
shown, then
(a) Determine the total reluctance of the given core when μr = 700 and constant.Hints:
1) Solve it like a regular electrical circuit using series/parallel concept
2) Flow of flux in magnetic circuits is same as flow of current...
112 CHAPTER 4 MAGNETIC CIRCUITS AND TRANSFORMERS 4.5 The electromagnetic system shown in Fig. 4.33 has...
112 CHAPTER 4 MAGNETIC CIRCUITS AND TRANSFORMERS 4.5 The electromagnetic system shown in Fig. 4.33 has a magnetic core relative permeability., Neglect fringing and leakage flux. Determine the expressioni e 4.8 ous as s a. The magnetic flux in each of the three legs b. The flux linkage and self-inductance of each coil c. The mutual inductance cet N2 FIGURE 4.33 Magnetic circuit of Problem 4.5 4.6 For the electromagnetic system of Fig. 4.33, the polarity of the voltage source...
2. The magnetic circuit of Fig. 1 consists of rings of magnetic material in a stack...
2. The magnetic circuit of Fig. 1 consists of rings of magnetic material in a stack of height h. The rings have inner radius Ri and outer radius Ro. Assume that the iron is of infinite permeability (μ → x) and neglect the effects of magnetic leakage and fringing Ri N turns For Ri-3.2 cm, Roー4.1 cm, ћ-1.8 cm, g = 0.15 cm, N-72 turns, calculate a. The mean core length le and the core corss-sectional area Ac. b. The...
5. A core with three legs is shown in the figure below. Its depth is 8cm,...
5. A core with three legs is shown in the figure below. Its depth is 8cm, 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 below. Answer the questions given below: a. What current is required to produce a flux density of 0.5T in the central leg of the core? b. What current is required to produce a flux density...
1-8. A core with three legs is shown in Figure P1-5. Its depth is 5 crn,...
1-8. A core with three legs is shown in Figure P1-5. Its depth is 5 crn, 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? 9 cm 9cm 25 cm 15 cm 25 cm 9 em 2 A 25 cm 100 tums 0.05 cm...
Question 7 A magnetic core is shown in Figure 1. Relative permeability of the core is 14 = 2000. Total number of winding turns in the left winding is NL = 100 and in the right winding is Nr = 10. Assume that the core cross section is uniform and the combined length of all air-gaps is much smaller than the dimensions of the core cross-section. Calculate the following: a) The magnetomotive force in the core if i = 2...
3.20 points - Magnetic circuit: A two-legged ferromagnetic core with relative permeability of 1500 is shown in the figure with its dimensions. Find the following: 1. Self and mutual inductances of the two windings with 400 and 300 turns. 2. What current will produce flux density of 1T in the core, if the first (left) winding with 400 turns is energized and the second winding is left open. 3. The rms voltage across the first winding, assuming the energizing source...
The following magnetic circuit has an infinitely permeable magnetic core. The parameters are given in the figure. Suppose Il=12A, 12=5 A and 13=8 A. a) Determine the flux densities (B1, B2 , B3) in each of the air gaps gl, g2, and g3. b) find the inductance matrix as follow: 4 42 43 L=121 122 123 L31 132 133 d) Find the total energy which is stored in the system. 81 = 5 mm 82 = 5 mm 83 =...
question 6 please
5. ucta Using the results of the previous problem (7.4), derive the following self - inductance parameters; a) The magnetic flux density B inside the solenoid of length h and magnetic material u on the interior b) The total flux Φ tot-J B-dS on the interior loop of a solenoid c) The flux linkage linking all of the loops of the structure d) The self-inductance L of the solenoid e) Now for a fine magnet wire (copper...
A single phase transformer core, for use in a 50Hz electrical network, has the following magnetic characteristic Flux Density B Magnetic Field Strength H Total Core Loss 0.8 1.28 1.68 2.09297RMS Ampere-Turns/cm 1.23 1.85 2.2 2.73 Watts/k 1.0 1.1 1.2 Tesla The core has a cross-sectional area of 175cm2, the mean magnetic path length is 160cm and the density of the core material is 7.5gm/cm3. (a) If a no-load voltage ratio of 6600/231 is required, choose a suitable number of...
112 CHAPTER 4 MAGNETIC CIRCUITS AND TRANSFORMERS 4.5 The electromagnetic system shown in Fig. 4.33 has a magnetic core relative permeability., Neglect fringing and leakage flux. Determine the expressioni e 4.8 ous as s a. The magnetic flux in each of the three legs b. The flux linkage and self-inductance of each coil c. The mutual inductance cet N2 FIGURE 4.33 Magnetic circuit of Problem 4.5 4.6 For the electromagnetic system of Fig. 4.33, the polarity of the voltage source...
2. The magnetic circuit of Fig. 1 consists of rings of magnetic material in a stack of height h. The rings have inner radius Ri and outer radius Ro. Assume that the iron is of infinite permeability (μ → x) and neglect the effects of magnetic leakage and fringing Ri N turns For Ri-3.2 cm, Roー4.1 cm, ћ-1.8 cm, g = 0.15 cm, N-72 turns, calculate a. The mean core length le and the core corss-sectional area Ac. b. The...
5. A core with three legs is shown in the figure below. Its depth is 8cm, 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 below. Answer the questions given below: a. What current is required to produce a flux density of 0.5T in the central leg of the core? b. What current is required to produce a flux density...
1-8. A core with three legs is shown in Figure P1-5. Its depth is 5 crn, 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? 9 cm 9cm 25 cm 15 cm 25 cm 9 em 2 A 25 cm 100 tums 0.05 cm...
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