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 3, Problem 3.31P
To determine
The total charge within the region
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Students have asked these similar questions
An infinitely long conductor of radius 18 cm carries a uniform current with
J = 142 A/m², the magnetic vector potential at p = 9 cm is
%3D
O a. -106.88ây nWb/m
O b. -35.63âz nWb/m
O c. -106.88åz nWb/m
O d. -35.63ây nWb/m
O e. -178.13åz nWb/m
O f.-178.13ây nWb/m
In a cartesian system, vector magnetic potential at a point (x.y,z) is defined as
A = 4x2yax +2y²xay -3xyzaz
The magnetic flux density at point (1, 0, 0) will be
-3ax+3ay-2az
-4az
2az
-2az
2- Show that the inductance of conductor due to internal flux is given by:
L= 0.00000005 H/ M
Chapter 3 Solutions
Engineering Electromagnetics
Ch. 3 - Prob. 3.1PCh. 3 - An electric field in space is E=(5z2/C0)azV/m....Ch. 3 - Consider an electric dipole in free space,...Ch. 3 - An electric field in free space is E=(5z3/0)z V/m....Ch. 3 - A volume charge distribution in free space is...Ch. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Use Gauss, law in integral form to show that an...Ch. 3 - A sphere of radius a free space contains charge of...Ch. 3 - An infinitely long cylindrical dielectric of...
Ch. 3 - Consider a cylindrical charge distribution having...Ch. 3 - The sun radiates a tota1 power of about 3.86...Ch. 3 - Spherical surfaces at r = 2, 4, and 6 m carry...Ch. 3 - Prob. 3.14PCh. 3 - Volume charge density is located as follows; pv=0...Ch. 3 - An electric flux density is given by D=D0aP, where...Ch. 3 - In a region having spherical symmetry, volume...Ch. 3 - State whether the divergence of the following...Ch. 3 - A spherical surface of radius 3 mm is centered at...Ch. 3 - A radial electric field distribution in free space...Ch. 3 - In a region exhibiting spherical symmetry,...Ch. 3 - (a) A flux density field is given as F1 = 5 az....Ch. 3 - (a) A point charge Q lies at the origin. Show that...Ch. 3 - In a region in free space, electric flux density...Ch. 3 - Within the spherical shell, 3D= 5(r-3)3a,C/m2 .(a)...Ch. 3 - If we have a perfect gas of mass density Px...Ch. 3 - Consider a slab of material containing a volume...Ch. 3 - Repeat Problem 3.8, but use .D= pv and take an...Ch. 3 - Prob. 3.29PCh. 3 - (a) Use Maxwells first equation. �. D=Pv, to...Ch. 3 - Prob. 3.31P
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Similar questions
- 3. A magnetic circuit consists of silicon steel 3000 permeability of 10-cm length and cross section of 1.5 sq.cm and an air gap of the same cross section and of 2 cm length. A ½ ampere current flows through 500 turns. What is the field intensity at the air gap? a. 156.8 Gauss b. 135.6 Gauss c. 140.6 Gauss d. 164.0 Gaussarrow_forwardMENT 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_forwardThree long, parallel, straight wires each carrying a 8.0 A current pass through the vertices of an equilateral triangle (L = 8.0 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the x and y components of the magnetic field vector at the point of the wire B? Give your answer in uT. B Her birinden 8,0 A akım geçen üç uzun ve birbirine paralel düz tel bir kenarı L-8,0 cm olan bir eşkenar üçgenin köşelerinden geçmektedirler. B ve C tellerinden geçen akım sayfa düzleminden bize doğru, A telinden geçen akım sayfa düzleminden içeri doğrudur. B telinin üstünde manyetik alanın x ve y bileşenleri µT cinsinden nedir? Yanıtınızarrow_forward
- Three long, parallel, straight wires each carrying a 5.0 A current pass through the vertices of an equilateral triangle (L= 5.0 cm) as shown in the figure below. Currents on wires B and C are out of page while that of wire A is into the page. What is the x and y components of the magnetic field vector at the point of the wire A? Give your answer in µT. B Her birinden 5,0 A akım geçen üç uzun ve birbirine paralel düz tel bir kenarı L=5,0 cm olan bir eşkenar üçgenin köşelerinden geçmektedirler. B ve C tellerinden geçen akım sayfa düzleminden bize doğru, A telinden geçen akım sayfa düzleminden içeri doğrudur. A telinin üstünde manyetik alanın x ve y bileşenleri µT cinsinden nedir? Larrow_forwardA long straight wire placed along az -axis carries a current of I= 8 A in the +az direction. The magnetic flux density at a distance r= 5cm from the wire will be o 16*10-6 wb/m? 30*10-6 wb/m2 O 8*10-6 wb/m² O 32*10-6 wb/m² A Moving to another question will save this response. ENG 4) 144 prt sc & 7 % 01 1004arrow_forwardQuestion 10 In a cartesian system, vector magnetic potential at a point (x.y.z ) is defined as A = 4x2yax +2y²xay -3xyzaz The magnetic flux density at point (0, 1, 0) will be -2az -4az -3ax+3ay-2az 2azarrow_forward
- An infinitely long conductoris bent into an L shape as shown in Figure. If a direct current of 4 A flows in the conductor, the magnetic field intensity (H) at (2, 2, 0): -0.6792az -0.54336az -0.4075az -0.27168az the magnetic field intensity (H) at (0, 2, 0) for Q35 0.159az 0.1989 az 0.11934az 0.07956azarrow_forwardA long straight wire placed along az -axis carries a current of I= 8 A in the +az direction. The magnetic flux density at a distance r= 5cm from the wire will be 8*10-6 wb/m? 16*10-6 wb/m2 30*10-6 wb/m? 32*10-6 wb/m2arrow_forwardGiven a magnetic flux density of 0.128 T that is uniform in the positive z direction. What is the magnetic flux: a. across the surface abcd? b. across the surface befc? c. across the surface aefd?arrow_forward
- The relation between flux density and vector potential is O B = Curl(A) O A = Curl(B) O B = Div(A) O A = Div(B) O none of the abovearrow_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_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
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