Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 8, Problem 8.26P
To determine
(a)
The value ofa.
To determine
(b)
The value ofa.
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A ten-turn solenoid has a ferromagnetic core with a relative permeability of 10,000. The length of the solenoid is l=10 cm and its cross section area is A=1 cm2. The amount of current driving the solenoid is 0.1 A. Determine the magnetic flux intensity H in the core. Provide your answer in A/m. Round off to your answer to one decimal.
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 steel
A 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 cm
Chapter 8 Solutions
Engineering Electromagnetics
Ch. 8 - A point charge, Q = - 0.3 /C and m = 3 Ă— -10-16...Ch. 8 - Prob. 8.2PCh. 8 - Prob. 8.3PCh. 8 - Show that a charged particle in a uniform magnetic...Ch. 8 - Prob. 8.5PCh. 8 - Show that the differential work in moving a...Ch. 8 - A conducting strip of infinite length lies in the...Ch. 8 - Two conducting strips, having infinite length in...Ch. 8 - A current of-100az A/m flows on the conducting...Ch. 8 - A planar transmission line consists of two...
Ch. 8 - Prob. 8.11PCh. 8 - Two circular wire rings are parallel to each...Ch. 8 - An infinitely long current filament is oriented...Ch. 8 - A solenoid is 25 era long, 3 cm in diameter, and...Ch. 8 - Prob. 8.15PCh. 8 - Prob. 8.16PCh. 8 - Prob. 8.17PCh. 8 - Prob. 8.18PCh. 8 - Given a material for which ℵK = 3.1 and within...Ch. 8 - Find H in a material where (a) fir = 4.2, there...Ch. 8 - Prob. 8.21PCh. 8 - Prob. 8.22PCh. 8 - Calculate values for HO,B0, and M0 at p = c for a...Ch. 8 - Two current sheets, K0,ay, A/m at z = 0 and -K0,ay...Ch. 8 - Prob. 8.25PCh. 8 - Prob. 8.26PCh. 8 - Let đ�œ‡rj = 2 in region 1, defined by 2x + 3y —...Ch. 8 - For values of B below the knee on the...Ch. 8 - Prob. 8.29PCh. 8 - Prob. 8.30PCh. 8 - A toroid is constructed of a magnetic material...Ch. 8 - Prob. 8.32PCh. 8 - Prob. 8.33PCh. 8 - Determine the energy stored per unit length in the...Ch. 8 - Prob. 8.35PCh. 8 - Prob. 8.36PCh. 8 - A Toroid has known, reluctance R. Two windings...Ch. 8 - Prob. 8.38PCh. 8 - Conducting planes in air at Z = 0 and z = d carry...Ch. 8 - Prob. 8.40PCh. 8 - Prob. 8.41PCh. 8 - Find the mutual inductance between two filaments...Ch. 8 - Prob. 8.43PCh. 8 - Prob. 8.44PCh. 8 - Beginning with the definition, of the scalar...
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- Find 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 ferromagnetic core with a relative permeability of 1500 is shown in the Figure. The dimensions are shown in the diagram, and the depth of the core is 5cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. Because of the 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 1.0 A, what are the flux values for the left, center, and right legs of the core? What is the magnetic field in each air gap? |7 cm 7 cm 7 cm to 30 cm 30 cm 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Core depth = 5 cmarrow_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_forward
- 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.arrow_forwardA ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm -30 cm- 7 em 30 ст 7 cm 30 cm -0.07 cm 300 turns 0.05 cm- 7 сm Core depth = 5 cmarrow_forwardA ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 30 cm- 30 cm 7 cm 30 cm 0.07 cm 300 turns 0.05 cm cm Core depth - 5 cmarrow_forward
- A ferromagnetic core with a relative permeability of 1500 is shown in the given figure. The dimensions are as shown in the diagram, and the depth of the core is 5 cm. The air gaps on the left and right sides of the core are 0.050 and 0.070 cm, respectively. 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 1.0 A: (a) What are the flux values for the left, center and the right legs of the core? (b) What is the flux density in each air gap? 7 cm 30 cm 30cm- 7 cm 30 cm 0.07 cm 300 turns 0.05 cm 7 cm Activate Windows Go to Settings to activate Windows. Core depth - 5 cmarrow_forwardWhich of the following configurations can be used to apply Ampere's circuital law ? f the length of a solenoid is doubled but the number of turns is halved, the magnetic field inside will Ɔ cut by 1/2 Ɔ cut by 1/4 Ɔ Quadrable Ɔ Double A B None of the above C D ... ... O Only A Only A & B & C .... .... ... . Only D O All of them None of the abovearrow_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 solenoid has 250 turns, Solve for the magnetomotive force when the current is 0.12 Amperes, a. in terms Sl unit b. in terms of CGS unitarrow_forward1. For the magnetic circuit given below, the distances constituting the mean core path are given in 'k'. There are three coils on the magnetic core. The magnitudes and the directions of the coil currents are given in T'. Cross-sectional area and magnetic permeability of the core are constant and uniform. Number of turns for the coils ('N') are the same. 41, d2 and d3 are the fluxes generated by currents I,, Iz and I3, respectively. a. Sketch the magnetic equivalent circuit of the core. b. Give the parametrical expression for reluctances. c. Give the parametrical expression for coil MMFS (Amper-Turn). d. Calculate the following ratios; $1/ P2 = ? $2/ P3 = ? P1/ 03 = ? t: Please mind the winding and current directions for flux calculations. k/2 k/2 b/4 N N F1 F2arrow_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_forward
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