Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Question
Chapter 9, Problem 9.2P
To determine
The emf at any time, t.
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Students have asked these similar questions
Biot-Savart law expresses the magnetic flux intensity produced by a dc
electrical current
Select one:
O a. True
b. None of the above
O c. False
Consider a ferromagnetic ring (nucleus) that has a mean circumference of 40 cm, 300coiled copper turns and a sectional area of 5 cm2. A current of 2 is appliedA to winding, producing a flux of 1.5 mWb.Determine the permeability of the core material.Determine the relative permeability of the core material.If the ferromagnetic ring has an air gap of 2 mm. Find the required MMFso that the flux density in the gap is 0.5 T.
Figure 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)
Chapter 9 Solutions
Engineering Electromagnetics
Ch. 9 - Prob. 9.1PCh. 9 - Prob. 9.2PCh. 9 - Prob. 9.3PCh. 9 - A rectangular loop of wire containing a...Ch. 9 - The location of the sliding bar in Figure 9.5 is...Ch. 9 - Prob. 9.6PCh. 9 - The rails in Figure 9.6 each have a resistance of...Ch. 9 - A perfectly conducting filament is formed into a...Ch. 9 - A square filamentary loop of wire is 25 cm on a...Ch. 9 - (a) Show that the ratio of the amplitudes of the...
Ch. 9 - Let the internal dimensions of a coaxial capacitor...Ch. 9 - Prob. 9.12PCh. 9 - En free space it is known that E = E0/r sin...Ch. 9 - A voltage source V0, sin cot is connected between...Ch. 9 - Use each of Maxwells equations in point form to...Ch. 9 - Derive the continuity equation from Maxwells...Ch. 9 - The electric field intensity in the region...Ch. 9 - Prob. 9.18PCh. 9 - In Section 9.1. Faradays law was used to show that...Ch. 9 - Prob. 9.20PCh. 9 - (a) Show that under static field conditions; Eq....Ch. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - A vector potential is given as A = A0 cos(đ�œ”t =...Ch. 9 - Prob. 9.25PCh. 9 - Write Maxwells equations in point form in terms of...
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Similar questions
- 15. A 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 800.arrow_forwardA three-legged ferromagnetic magnetic core with the coil dimensions shown below has a of 500 turns wrapped around the right leg. The core relative permeability is 4000 times, The magnetic flux in the left leg of the core has a value of 40 mWb. The center leg has an air gap of 0.8 mm, its fringing effect is neglected. Draw the corresponding magnetic circuit and find the values of the coil current i, and the flux in each leg of the core. cm 10 cm, 25cm 25 cm 10 cm 10 cm 25 cm 0.8 mm 500 turns 10 cm Core depth = 10 cmarrow_forwardAmagnetic 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.arrow_forward
- A 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_forwardExample(6): A magnetic circuit containing an air gap is shown in Figure below. With the dimension as marked, calculate the current in the coil to establish a flux density of 0.6 T in the air gap. The core has the B - H characteristics. Repeat above but correct for fringing and lamination. Consider SF=0.95, FF 1.08 while is as above. 2 mm) A-5cm²arrow_forwardThe saturation curve of a particular core material shows that at a magnetic field intensity of 1250 At/m and the flux density is 0.80 Tesla. Determine the relative permeability of the core material.arrow_forward
- Amagnetic circuit has an average length of 1.4 m and a cross-sectional area of 0.25 m2. Excitation is provided by a 140 -turn, 30-Q, coil. Determine the voltage required to establish a flux density of 1.56 T. The reluctance of the magnetic circuit, when opera ting at this flux density is 768 A-t/Wb.arrow_forwardThe applied MMF to a simple magnetic circuit is 350AT. It was found that the resulting magnetic field denstiy is 0.7 Wb/m². The average length of this magnetic circuit is 1.64ft and its cross sectional area is 4cm². What is the reluctance (in AT/Wb) of the magnetic material of the core?arrow_forwardA magnetic circuit has a mean flux path length of 800 mm and a reluctance of 2.5.105 A-t/Wb. A magnetic flux of 5 mWb is produced in this circuit by an energising coil of 800 turns. Determine the: (i) m.m.f. that must be produced by the coil. (ii) magnetic field strength. (iii) voltage induced in the coil circuit if the magnetic field is allowed to collapse to zero in 2 ms. (iv) inductance of the energising coil.arrow_forward
- F.) An iron core has a cross-sectional area of 10^(-3) square meter and mean circumference of 1 meter. The relative permeability of the material is 500 and the number of turns is 200. Determine the current required to set up a flux of 0.001 weber. a. 7.54 A b. 7.96 A c. 8.19 A d. 8.47 Aarrow_forwardFind the pull on the plunger of an electromagnet when the total flux uniformly distributed is 0.8 mWb. The diameter of the plunger is 5 cm. SHOW SOLUTION PLEASE...arrow_forwardA ring of ferromagnetic material has a rectangular section. The inner diameter is 15 cm.The outer diameter is 24 cm. And the thickness is 5 cm. There is a coil of 500 turns wound onthe ring. When the coil has a current of 10 A, the flux in the core is 0.0007 Wb. Theaverage length of the ring is Ln=0.66m Determine:a) The magnetomotive force.b) The intensity of the magnetic field and the flux density.c) Reluctance, permeability and relative permeability.arrow_forward
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