Fundamentals of Electromagnetics with Engineering Applications
1st Edition
ISBN: 9780470105757
Author: Stuart M. Wentworth
Publisher: Wiley, John & Sons, Incorporated
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Chapter 4, Problem 4.22P
To determine
The current through the resistor such that the bar rotates at
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Determine the mutual inductance between a very long straightwire and a conducting circular loop of radius “b” m set up “d” mapart on the same plane as shown figure.Problem:
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?
30 cm-
30 cm
7 cm
30 cm
0.07 cm
300 turns
0.05 cm
cm
Core depth - 5 cm
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-
7 em
30 ст
7 cm
30 cm
-0.07 cm
300 turns
0.05 cm-
7 сm
Core depth = 5 cm
Chapter 4 Solutions
Fundamentals of Electromagnetics with Engineering Applications
Ch. 4 - How long does it take for charge density to drop...Ch. 4 - At a particular point in a slab of silver, a...Ch. 4 - A current density is given by J=e.01taA/m2. Find...Ch. 4 - At t=0s, 60.0C is evenly distributed throughout a...Ch. 4 - A propagating electric field is given by...Ch. 4 - A 10.0-MHz magnetic field travels in a fluid for...Ch. 4 - Modify the simple wave program in MATLAB 4.1 to...Ch. 4 - Modify the traveling wave program in MATLAB 4.2 to...Ch. 4 - Prob. 4.9PCh. 4 - A bar magnet is dropped through a conductive ring....
Ch. 4 - Considering Figure 4.7, suppose the area of a...Ch. 4 - Sometimes a transformer is used as an impedance...Ch. 4 - Prob. 4.13PCh. 4 - The mean length around a nickel core of a...Ch. 4 - A triangular wire loop has its vertices at the...Ch. 4 - Referring to Figure 4.23, suppose a conductive bar...Ch. 4 - Suppose we have a conductive bar moving along a...Ch. 4 - The radius r of a perfectly conducting metal loop...Ch. 4 - Rederive Vemf for the rectangular loop of Figure...Ch. 4 - In Figure 4.16, replace the rectangular loop with...Ch. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - A Faraday disk generator is similar to the...Ch. 4 - Prob. 4.24PCh. 4 - Prob. 4.25PCh. 4 - Suppose a vector field is given by A=2cosaz Verify...Ch. 4 - A pair of 60cm2 area plates are separated by a...Ch. 4 - Plot the loss tangent of seawater ( =4S/m and r=81...Ch. 4 - A 1.0-m-long coaxial cable of inner conductor...Ch. 4 - Suppose in free space that E(z,t)=5.0e2ztaxV/m. Is...Ch. 4 - An electric field propagating in a lossless...Ch. 4 - A magnetic field propagating in free space is...Ch. 4 - Find the instantaneous expression for E for the...Ch. 4 - Given, at some point distant from a source at the...Ch. 4 - In a lossless, nonmagnetic media, the magnetic...Ch. 4 - Suppose, in a nonmagnetic medium of relative...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Prob. 4.39PCh. 4 - Find E(z,t) in Problem 4.32 using phasors.Ch. 4 - Prob. 4.41PCh. 4 - Find H(y,t) in Problem 4.36 using phasors.Ch. 4 - In MATLAB 4.4, a polar plot of the phasor...
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Similar questions
- Figure 1 shows a ferromagnetic core with a relative permeability of 1850, the depth of the core is 10 cm. The air gap on the core is 0.2 cm with effective area 5 % larger than their physical size due to fringing effects. Given the number of turns N = 500 and current i = 2 x, where x is the last digit of your student ID (example: EEE1705590, then i = 20 A): (a) Find the total reluctance of the core and air gap. [CLO1-PL01:C2] (b) Find the flux density of the air gap. [CLO1-PLO1:C2] 13 cm 23 cm 9 cm 5.6 сm Air gap 31 cm N turns 7 cm Figure 1arrow_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 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_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
- MENT OF EDI 3. A long, straight conductor carries a current of 8.0 A and is directed to the right. What is the magnitude of the magnetic field produced by the current-carrying wire 2.0 m from the wire? (See figure below) Draw the magnetic field to determine the direction of the field at the specified point P. RICHA AS SACYarrow_forwardA magnetic core with an air gap is shown below. For a relative permeability is 3500, and the space free permeability is 4TTX10-7 H/m. Find the reluctance of the left leg and the top side of the core. Ignore the gap in your calculations. 10 cm 0.1 cm gap 20 cm 5 cm 5 cm 40 cm 5 cm core depth = 10 cm Select one: O a. Rieft = 1251 A.t./Wb , Rtop = 1023 A.t/Wb O b. None O c. Rieft = 12.51 KA.t./Wb , Reop = 10.23 KA.t/Wb O d. Rieft = 125.1 A.t./Wb , Rtop = 102.3 A.t/Wbarrow_forwardA magnetic core with an air gap is shown below. For a relative permeability is 3500, and the space free permeability is 4x10-7 H/m. Find the reluctance of the left leg and the top side of the core. 5 cm gap 0.15 cm Select one: a. 40 cm N core depth = 10 cm O b. Rleft = 13.642 C. None 5 cm 1 5 cm 20 cm 15 cm Rleft = 1364.2 A.t./Wb, Rtop = 2045.5 A.t/Wb KA.t./Wb, Rtop = 20.455 KA.t/Wb d. Rleft = 20.455 KA.t./Wb, Rtop = 13.642 KA.t/Wb Oe. Rleft = 1.36 KA.t./Wb, Rtop = 2.05 KA.t/Wbarrow_forward
- 8. An iron ring has a mean circumferential length of 40 cm and a cross sectional area o 1 cm2. It is wound uniformly with 500 turns of wire. Measurements made with a search coil around the ring show that flux in the ring is 6Wb. If the relative permeability of the core is known to be 65, determine the current flowing in the windings.arrow_forwardPlease solve this electromagnetism problemarrow_forwardQ35. An infinitely long conductor is bent into an L shape as shown in Figure. If a direct current of 3 A flows in the conductor, the magnetic field intensity (H) at (2, 2, 0): -0.6792az -0.54336az -0.4075az -0.27168azarrow_forward
- Styles Q35. An infinitely long conductor is bent into an L shape as shown in Figure. If a direct current of 5 A flows in the conductor, the magnetic field intensity (H) at (2, 2, 0): -0.6792az -0.54336az -0.4075az -0.27168az Q36. the magnetic field intensity (H) at (0, - 2, 0) for Q35 0.159az O 0.1989 az O 0.07956az 0.11934az Q37. A circular conducting loop of radius 8m, centered at origin in the plane z 0 carries a current of 4 A in ao 2az A/m direction, what will be the magnetic field intensity at the origin az A/m O 0.25az A/m 0.5az A/m 自 glish (U.S.)arrow_forwarda rectangular ferromagnetic core 40 x 60 mm has a flux φ = 1.44 mwb. an air gap in the core is of length la = 2.5 mm. find the ni drop across the air gap.arrow_forwardQ35. An infinitely long conductor is bent into an L shape as shown in Figure. If a direct current of 5 A flows in the conductor, the magnetic field intensity (H) at (2, 2, 0): -0.6792az -0.54336az -0.4075az -0.27168az (6ziall 直arrow_forward
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