Consider a toroid with a rectangular cross section of 1 cm by 1 cm. The mean radius is 9 cm. Into this toroid, there is cut a 1.5 mm air gap. The toroid has 100 turns of wire. The permeability of the magnetic material is 3500 times the permeability of free space. Two windings are placed on the device such that positive current in one winding will ten1 to produce negative flux in the other winding. Suppose winding 1 has 30 turns; winding 2 has 15 turns. What is (a) the self-inductance of winding 1, (b) the self-inductance of winding 2, (c) the mutual inductance between the windings. Finally (d), if the current in the winding 1 is 6 A, and the current in winding 2 is -3 A, what is the flux linkage in winding 1? Ignore leakage inductance.
Consider a toroid with a rectangular cross section of 1 cm by 1 cm. The mean...
A toroid having a rectangular cross section (a =2.00 cm by b=3.00 cm) and inner radius R=3.65 cm consists of 500 turns of wire that carries a sinusoidal current l=Imax sin wt, with Imax=49.0 A and a frequency f= w/ 2 π=60.0 Hz. A coil that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as s function of time.
A toroid having a rectangular cross section (a = 2.00 cm by b-3.00 cm) and inner radius R = 3.60 cm consists of 500 turns of wire that carries a sinusoidal current 1-1 a sin(wt), with Imax-53.5 A and a frequency f= ω/2π = 60.0 Hz. A coll that consists of 20 turns of wire links with the toroid, as shown in the figure. Determine the emf induced in the coil as a function of tlme. v cos(cot)
9 and 10 please 9. A toroid has center line radius 0.1 m. cross section area of 0.2 cm., determine the number of turns so that its inductance is 0.2 uF if it is filled with air. For the same parameters, what will be the inductance if it is filleod with a material of , -500? In the material-filling case, what is the magnetic flux density in the core if 2A current is applied? 10. For the toroid mentioned in...
Assume that the air-core toroid has a circular cross-section of radius 4 mm. Find the inductance of the toroid if there are 3500 turns and the mean radius is r = 40 mm. If the flux density is 0.6 T, determine the flux from the circular cross-section of radius 4 mm. 4. (15 Marks)
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...
Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability of the medium to be Ho, find the self-inductance of the toroidal coil. FIGURE 6-23 A closely wound toroidal coil Ex 5 Assume that N turns of wire are tightly wound on a toroidal frame of a rectangular cross section with dimensions as shown in Figure. Then, assuming the permeability...
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...
(1 point) In free space, a toriod, having a cross-section of a square of side cm, has a mean radius R = 17 cm and 400-turns of coil. Find the self-inductance of the toroid. L= μΗ
Prob.l. A rectangular magnetic core shown in the below Fig, has square cross-section of area 16 cm". An air-gap of 2 mm is cut across one of its limbs. Find the exciting current needed in the coil having 1000 turns wound on the core to create an airgap mu of 4 m Wb. The relative permeability of the core is 2000. N=1000 2 mm 25 cm - - 20 cm
1.) The inner and outer radii of a toroid are 1.50 cm and 3.30 cm. The toroid has 61 turns and carries a current of 2.20 A. What are the strongest and weakest magnetic fields produced by this toroid? (Enter the magnitudes.) T(strongest): T(weakest): 2.) The magnitude of the magnetic field at the center of a 23.0-cm-long solenoid with 600.0 turns is 2.10 mT. What is the current in the windings of the solenoid?