Example 2-2 (SI) The conductor in Figure 2-3 is 0.5 m long. The flux density is 1.5 T (Wb/m²) and the velocity of the conductor is 1.3 m/s. Find the voltage induced in the conductor when: = 35° = 90° (maximum voltage) (a) (b) North Pole B 0,2 m South Pole Figure 2-3 Diagram for Example 2-2.
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- Question 1 A ferromagnetic core with a relative permeability of 1500 is shown in Figure 2. The dimensions are as shown in the diagram, and the depth of the core is 7 cm. The air gaps on the left and right sides of the core are 0.070 and 0.020 cm, respectively. Because of fringing effects, the effective area of the air gaps is 5 percent larger than their physical size. If there are 400 turns in the coil wrapped around the center leg of the core and if the current in the coil is 1.0 A, what is a) the flux in each of the left, center, and right legs of the core? b) the flux density in each air gap? 7 cm ст ст 30 cm 30 cm 7 cm 400 turns 0.05 cm 30 cm 0.07 cm 7 cm Core depth = 7 cm Figure 2A ferromagnetic core is shown below. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.003 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. 1. - 10 cm--- - 20 cm - 15 cm 500 tums 15 cm 15 cm [1.21 A, 0.4 T, 1.2 T]Figure Q1(a) shows a piece of ferromagnetic core with magnetic flux (B) with circular current (I) around the core. Figure Q1(b) show laminated ferromagnetic core with the same magnetic flux (B) and circular currents. With the aid of diagrams, explain how the current as highlighted in red (I) is developed in the ferromagnetic core in Figure Q1(a). B (a) (b) Figure 1(a) A ferromagnetic core and (b) laminated ferromagnetic core
- (b) A ferromagnetic is shown in figure Q3(b). Find the value of the current that will produce a flux of 0.005wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. The depth of the core is 5cm. The other dimensions of the core are as shown in the figure. 15 cm 500 turns 15 cm 45 cm 5 сm 15 cm 10 cm 35 cm Figure Q3(b)A ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 800. 1-5. 10 cm- 5em 20 em 15 cm 15 cm 15 cm Coe depth - Scm SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a second region, and the right side forms a third region. If we assume that the mean path length of the flux is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:Question 1 A ferromagnetic core is shown in Figure 1. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. a) Find the value of the current that will produce a flux of 0.005 Wb. b) With this current, what is the flux density at the top of the core? c) What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. cm -10 cm-- 20 cm 15 cm 500 turns 15 cm 15 cm Core depth 5 cm Figure 1
- A ferromagnetic core is shown in Figure PI-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. -10 cm- - 20 cm- 15 cm 400 turns 15 cm 15 cm Core depth 5 cmAmagnetic 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.The core of a transformer operating at 50 Hz has an eddy current loss of 100 W/m3 and the corelaminations have a thickness of 0.50 mm. The core is redesigned so as to operate with the same eddycurrent loss but at a different voltage and at a frequency of 250 Hz. Assuming that at the new voltage themaximum flux density is one-third of its original value and the resistivity of the core remains unaltered,determine the necessary new thickness of the laminations. Clear and detailed solution.
- B. For the following magnetic circuit, the flux passing through the core is 1.32 mWb, the cross section of the core is 3 cm by 4 cm, the laminated section has a stacking factor of 0.9, and the gap is 1 mm. Determine the flux density in each section. Neglect fringing d N turns Cast iron Air gap Laminated sheet steelA 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 80025 PROBLEMS 12 cm +1.5-mm gap IP1000t Armature (sheet steel) Cast steel A = 2 cm? throughout FIGURE 1.27. The relay shown in Figure 1.27 has a core made of cast steel and an armature of sheet steel. A flux of 0.8 T in the air gap produces a force that pulls in the CO armature. a. Determine the required current to pull in the armature. b. What force is exerted on the armature to overcome the spring tension? c. Assuming in the closed position the air gap is reduced to 0.1 mm, to what value may the current be reduced (dropout current of relay) just to retain closure? Assume that the same force is required in the closed position to overcome the spring force.