Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Textbook Question
Chapter 7, Problem 3TFQ
Ohm’s law for a magnetic circuit gives the relationship between flux density, magnetomotive force, and reluctance.
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For the magnetic circuit shown in the figure, the iron core with N = 500 turns -Magnetic permeability is 200. its average length is 10 cm -The diameter of the cross-sectional area is 1 cm. Find the current that must pass through the winding to produce 0.5 mWb of flux in a 1mm air-gap magnetic circuit?
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
Describe in detail the " Magnetic Hysteresis of Ferromagnetic Materials"
Chapter 7 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
Ch. 7 - The tesla (T) and the gauss (G) are both units for...Ch. 7 - The unit for measuring magnetomotive force (mmf)...Ch. 7 - Ohm’s law for a magnetic circuit gives the...Ch. 7 - A solenoid is a form of electromagnetic switch...Ch. 7 - A hysteresis curve is a plot of flux density (B)...Ch. 7 - To produce an induced voltage in a coil, the...Ch. 7 - Prob. 7TFQCh. 7 - Prob. 8TFQCh. 7 - Prob. 9TFQCh. 7 - Prob. 10TFQ
Ch. 7 - Prob. 1STCh. 7 - Prob. 2STCh. 7 - Prob. 3STCh. 7 - Prob. 4STCh. 7 - Prob. 5STCh. 7 - Prob. 6STCh. 7 - Prob. 7STCh. 7 - The electromagnetic activation of a movable shaft...Ch. 7 - When there is current through a wire placed in a...Ch. 7 - Prob. 10STCh. 7 - Prob. 11STCh. 7 - Prob. 12STCh. 7 - Prob. 13STCh. 7 - Prob. 14STCh. 7 - Prob. 15STCh. 7 - The cross-sectional area of a magnetic field is...Ch. 7 - In a certain magnetic field the cross-sectional...Ch. 7 - Wha is the flux in a magnetic material when the...Ch. 7 - At a given location, the earth’s magnetic field...Ch. 7 - A very strong permanent magnet has a field of...Ch. 7 - Prob. 6PCh. 7 - What is the relative permeablility of a...Ch. 7 - Determine the reluctance of a material with a...Ch. 7 - What is the magnetomotive force in a 500 turn coil...Ch. 7 - Typically, when a solenoid is activated, is the...Ch. 7 - Prob. 11PCh. 7 - Explain the sequence of events in the circuit of...Ch. 7 - Prob. 13PCh. 7 - What is the magnetizing force in Problem 9 if the...Ch. 7 - How can the flux density in Figure 7-51 be changed...Ch. 7 - In Figure 7-51, determine the following if the...Ch. 7 - Determine from the hysteresis curves in Figure...Ch. 7 - According to Faraday’s law, what happens to the...Ch. 7 - The voltage induced across a certain coil is...Ch. 7 - Prob. 20PCh. 7 - A 20 cm long conductor is moving upward between...Ch. 7 - Prob. 22PCh. 7 - If a generator is 80% efficient and delivers 45 W...Ch. 7 - Prob. 24PCh. 7 - If the output voltage in Problem 24 is 14 V, what...Ch. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - A basic one-loop de generator is rotated at 60...Ch. 7 - Assume that another loop of wire. 90 from the...
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- 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:arrow_forwardA 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]arrow_forwardA magnetic circuit with a cross-sectional area of 20 cm? is to be operated at 50 Hz from a 120 V rms supply. The number of turns required to achieve a peak magnetic flux density of 1.8 T in the core isarrow_forward
- What will be the reluctance of a magnetic core if the mean path length for flux is 0.04 m and the cross-sectional area is 0.001 sq. m.? The relative permeability of the core is equal to (8000/n). Express your answer in ampere-turns per weber, rounded off to the nearest hundred [100 A- t/Wb]. Answer:arrow_forwardThe length of a magnetic circuit in a moving iron instrument is 300mm.The coil around the soft iron core has 360 turns and takes a current of 1.75A.The core is square in section with sides of 20mm.Take the relative permeability of soft iron as 1100. Determine the magnetomotive force in the core. Determine the field strength. Determine the flux density. Determine the total flux.arrow_forwardTrue or False: If the core material has a high reluctance, flux will flow freely in a magnetic circuit with a conductor with a high applied voltage.arrow_forward
- An iron circuit with a small0.75 mm air gap is shown in Figure 1. A 6000 turn coil carries a current I = 18 mA which sets up a flux within the iron and across the air gap. The cross section of the iron is a consistent 0.8 cm2, and the mean length of the flux path is 0.15 m. a) Redraw the magnetic circuit using schematic symbols of an electric circuit with reluctance in each part of the circuit. b) State's Ohm's Law for magnetic circuit. c) By neglecting the effect of fringing, calculate the reluctance of the circuit. d) Find the flux within the core. N = 6000 Iron circuit (u, = 800 for iron). Figure 1arrow_forwardFigure 1 shows a ring formed with two different materials – cast steel and mild steel. Mild steel has a mean length of 400 mm and an area of 500 mm². Cast steel has a mean length of 300 mm and an area of 312.5 mm2. The magnetisation curve for mild steel and cast steel is shown in Figure 2. Find the total MMF required to cause a flux of 500 µWb in the magnetic circuit. Determine also the total circuit reluctance. 1.8 Cașt steel Cast-steel 1.6 Silicon iron 1.4 Mild steel 1.2 1.0 0.6 Mild stel Cast iron 0.6 Figure 1: Ring arrangement 0.4 0.2 3000 4000 Magnetic field strength, H(A/m) 1000 2000 5000 600ỘI 7000 Figure 2: Magnetization Curve MMF = AT Reluctance = x 10* ΑT/Wb Flux density, B(T)arrow_forwardA 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 cmarrow_forward
- An iron circuit with a small 0.75 mm air gap is shown in Figure 1. A 6000 turn coil carries a current I = 18 mA which sets up a flux within the iron and across the air gap. The cross section of the iron is a consistent 0.8 cm?, and the mean length of the flux path is 0.15 m. a) Redraw the magnetic circuit using schematic symbols of an electric circuit with reluctance in each part of the circuit. b) State's Ohm's Law for magnetic circuit. c) By neglecting the effect of fringing, calculate the reluctance of the circuit. d) Find the flux within the core. N = 6000 Iron circuit (4, = 800 for iron). Figure 1arrow_forwardshow thatvthis is a magnetic flux density: then prove and interpret it with reasons on each steparrow_forwardThe length of a magnetic circuit in a moving iron instrument is 300mm. The coil around the soft iron core has 360 turns and takes a current of 1.75 A. The core is square in section with sides of 20mm. Take the relative permeability of soft iron as 1100. Determine the total fluxarrow_forward
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