Problem 7 The magnetic core shown in figure P-7 is made of two types of magnetic materials. The center leg has a relative permeability of 2000 while the rest of the core has a permeability of 8000. Determine the flux in the core for a current of 10 A and 500 turns. The depth of the core is 5 cm. μ₁ = 8000 I T 10cm † N =2000 20cm -20cm 20cm 10cm 10cm 10cm Figure P-7 10cm
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- Q1. A core with three legs is shown in Figure. Its depth is 5 cm, 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? Assume a 5% increase in the effective area of the air gap due to fringing effects.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 core with three legs is shown in the figure below. Its depth is 5 cm, and there are 400 turns on the centre leg. The remaining dimensions are shown in the figure. The core is composed of steel having the magnetization curve is also given below. Answer the following questions about this core: 1. What current is required to produce a flux density of 0.5 T in the central leg of the core? 2. What current is required to produce a flux density of 1.0 T in the central leg of the core? Is it twice the current in part (a)? 3. What are the reluctances of the central and right legs of the core under the conditions in part (a)? 4. What are the reluctances of the central and right legs of the core under the conditions in part (b)? 5. What conclusion can you make about reluctances in real magnetic cores?
- 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/WbIn the magnetic circuit in the figure, the relative with a magnetic permeability of 2000 the cross-sectional area of the core is constant and 1 [m2 ] is. middle arm (AB) Find the magnetic flux.Below is the magnetic circuit with two windings and two air gaps. The cross-sectional area is constant in the parts of the air gaps and within the whole core and is shown with Ac. g1 = 1 mm, g2 = 0.5 mm, Ac = 200 mm2, i1 = 5 A, i2 = 3 A, N1 = 100, N2 = 50. Also, the magnetic permeability of the core can be accepted as μr = ∞. According to this information, a) Magnetic flux density in the air gaps,a) Self inductance of the windings, b) Calculate the mutual inductances between the windings.
- An ideal core (assume relative permability is infinity) with a crossectional area of 12 cm2is excited via10A current flowing through coil with 200 turns. On the one side of the coil, a 1 cm long paramagneticmaterial (µr=1) is placed. Calculate the magnetic field on paramagnetic materialAn iron-cored choke is designed to have an inductance of 12.5 H when operating at a flux density 3 T, the corresponding relative permeability of iron core is 1500. Determine the number of turns in the winding, given that the magnetic flux path has a mean length of 20 cm in the iron core and 2 mm in air-gap that its cross-section is 15 cm2. * ROUNDING OFF is ALLOWED only in the final answers expressed up to FIVE (5) DECIMALPLACES.1) 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.a) Calculate the total reluctance, total, of the core
- A square magnetic core has a mean length of 43 cm and a cross-sectional area of120cm2. A coil of 200 turns of wire is wound around one of the columns of the core, thewhich is made of a material whose required magnetic field strength is H=115 Aturns/m. a) How much current is required to produce a flux of 0.012 Wb, in the core?b) What is the relative permeability of the core for that current?c) What is the reluctance?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 solenoid similar to the figure below, has a core made of caststeel (refer to the figure on the next slide). It has a cross-sectional area of 4cm2 and a mean length of 20cm. The coil has 100turns, and the coil current is 3.2A. Find the following:a)magnetomotive force, mmfb)magnetic field intensity, Hc)flux density, B (with graph)