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Region 1 occupies the space 3x +4y >10. Region 2 occupies the space 3x+4y
The - a magnetic field intensity in the - region xxo, assumed to be free space,...
The - a magnetic field intensity in the - region xxo, assumed to be free space, is given Ai = 4 årt sây+ 328 Alm. In the region xco, assumed to be occupied by material with relative permeability M, the magnetic field intensity is Ar= 2ax +3ây +4 az Alm. Determine My and the surface current density at the boundary between the two regions.
(1 point) Two different ideal dielectrics fill all of space. The relative permittivity in the region...
(1 point) Two different ideal dielectrics fill all of space. The relative permittivity in the region where 6x – 2y + 3z > 6 is eri = 3.5, while the relative permittivity everywhere else is Er2 = 1.5. In each dielectric region, the electric field intensity is constant. (Of course the constant for Region 1 need not be identical to the constant for Region 2.) Given the electric field intensity E(2,1,1) = (–70, 0, 42) V/m, find the electric flux...
problem 4 magnetic flux through χ-1,0 < y i, i < 2 4. Calculate s Problem 4 (10 points) In free space, A= 10 sinπ ya, + (4 + cosπ x)az wb/m. Find H and J. Problem 5 (10 points) magnetic...
problem 4
magnetic flux through χ-1,0 < y i, i < 2 4. Calculate s Problem 4 (10 points) In free space, A= 10 sinπ ya, + (4 + cosπ x)az wb/m. Find H and J. Problem 5 (10 points)
magnetic flux through χ-1,0
Chapter 2 Question A toroidal core of relative permeability 1000 has a mean diameter of 300...
Chapter 2 Question A toroidal core of relative permeability 1000 has a mean diameter of 300 mm and a cross sectional area of 6 cm". The core is wound with 1000 turns. If a dc current establishes a flux in the core of 6 x 10-4 Webers, determine: (a) (1) the magnetic flux density. (ii) the inductance. (iii) the magnetic intensity (H). (iv) the stored energy.
1. In a region of space, B Bs with B, -125 m (a) Determine J. (4)...
1. In a region of space, B Bs with B, -125 m (a) Determine J. (4) (b) Calculate the magnetic flux through the square with corners (0,1,1), (0,2,1), (0,1,2), and (0,2,2), in units of cm. (4) 2. A trapezoidal loop carrying steady current I with dimensions shown is placed near a long straight wire carrying current I. Determine the initial force on the trapezoidal loop. (10) 12a 4a 6a
Magnetic Circuits y Part A - Calculate reluctances Learning Goal: To understand how magnetic structures can...
Magnetic Circuits y Part A - Calculate reluctances Learning Goal: To understand how magnetic structures can be analyzed by drawing an equivalent circuit, and to use the equivalent circuit to calculate magnetic fluxes and coll currents. When analyzing magnetic structures, the geometry is often complex enough that using the fundamental rules can be very difficult without numerical methods. However, there are approximate methods that are often sufficient for engineering calculations. When the magnetic field is mostly contained within cores of...
Problem 1 (2 marks) A rectangular loop of conducting wire is rotating around the z-axis as...
Problem 1 (2 marks) A rectangular loop of conducting wire is rotating around the z-axis as shown in Figure 1. The loop is placed inside a magnetic field with A Z flux density of B = Ba, (Wb/m2) in free space. Given the height of wwww the loop is h (m); the width of the loop is (m) and the rotation W angular velocity is o (rad/s), find the induced emf in the closed loop C Figure
Problem 1 (2...
3. [20 pts] A linear and isotropic magnetic medium with magnetic susceptibility, Xm-Xm(in - phase...
3. [20 pts] A linear and isotropic magnetic medium with magnetic susceptibility, Xm-Xm(in - phase) +xm (out-of- phase), and permeability in free space, [uo is magnetized by an applied magnetic field intensity, Haypj. The magnetic medium under an externally applied Happl has volume magnetization vector, M and volume current density, Jms (a) [4 pts] Determine the magnetic flux density, B produced from the magnetic medium excited by Happl and write the SI unit. b) 4 pts] Determine the relative magnetic...
2. (10 pts) The magnetic potential in a region is A 4x2z x + 2y2x and...
2. (10 pts) The magnetic potential in a region is A 4x2z x + 2y2x and 5xz2 z Wb/m. Determine the z component of B.
Problem (2): owing magnetic circuit, the depth of the core is 5 em, the relative permeability of the the length of the air gap is 1 mm, N, 1000,42A, NA 500, ( 1A, Ns core is 4000, len i the energ...
Problem (2): owing magnetic circuit, the depth of the core is 5 em, the relative permeability of the the length of the air gap is 1 mm, N, 1000,42A, NA 500, ( 1A, Ns core is 4000, len i the energy density in the air gap is 39788.74, determine i. Ignore fringing effect. Ho 4 x 10-7 H.m-1. (15 pts) Core: Area A Permeability a A. -5cm N, turns NB NA 50cm
Problem (2): owing magnetic circuit, the depth of...
The - a magnetic field intensity in the - region xxo, assumed to be free space, is given Ai = 4 årt sây+ 328 Alm. In the region xco, assumed to be occupied by material with relative permeability M, the magnetic field intensity is Ar= 2ax +3ây +4 az Alm. Determine My and the surface current density at the boundary between the two regions.
(1 point) Two different ideal dielectrics fill all of space. The relative permittivity in the region where 6x – 2y + 3z > 6 is eri = 3.5, while the relative permittivity everywhere else is Er2 = 1.5. In each dielectric region, the electric field intensity is constant. (Of course the constant for Region 1 need not be identical to the constant for Region 2.) Given the electric field intensity E(2,1,1) = (–70, 0, 42) V/m, find the electric flux...
problem 4
magnetic flux through χ-1,0 < y i, i < 2 4. Calculate s Problem 4 (10 points) In free space, A= 10 sinπ ya, + (4 + cosπ x)az wb/m. Find H and J. Problem 5 (10 points)
magnetic flux through χ-1,0
Chapter 2 Question A toroidal core of relative permeability 1000 has a mean diameter of 300 mm and a cross sectional area of 6 cm". The core is wound with 1000 turns. If a dc current establishes a flux in the core of 6 x 10-4 Webers, determine: (a) (1) the magnetic flux density. (ii) the inductance. (iii) the magnetic intensity (H). (iv) the stored energy.
1. In a region of space, B Bs with B, -125 m (a) Determine J. (4) (b) Calculate the magnetic flux through the square with corners (0,1,1), (0,2,1), (0,1,2), and (0,2,2), in units of cm. (4) 2. A trapezoidal loop carrying steady current I with dimensions shown is placed near a long straight wire carrying current I. Determine the initial force on the trapezoidal loop. (10) 12a 4a 6a
Magnetic Circuits y Part A - Calculate reluctances Learning Goal: To understand how magnetic structures can be analyzed by drawing an equivalent circuit, and to use the equivalent circuit to calculate magnetic fluxes and coll currents. When analyzing magnetic structures, the geometry is often complex enough that using the fundamental rules can be very difficult without numerical methods. However, there are approximate methods that are often sufficient for engineering calculations. When the magnetic field is mostly contained within cores of...
Problem 1 (2 marks) A rectangular loop of conducting wire is rotating around the z-axis as shown in Figure 1. The loop is placed inside a magnetic field with A Z flux density of B = Ba, (Wb/m2) in free space. Given the height of wwww the loop is h (m); the width of the loop is (m) and the rotation W angular velocity is o (rad/s), find the induced emf in the closed loop C Figure
Problem 1 (2...
3. [20 pts] A linear and isotropic magnetic medium with magnetic susceptibility, Xm-Xm(in - phase) +xm (out-of- phase), and permeability in free space, [uo is magnetized by an applied magnetic field intensity, Haypj. The magnetic medium under an externally applied Happl has volume magnetization vector, M and volume current density, Jms (a) [4 pts] Determine the magnetic flux density, B produced from the magnetic medium excited by Happl and write the SI unit. b) 4 pts] Determine the relative magnetic...
2. (10 pts) The magnetic potential in a region is A 4x2z x + 2y2x and 5xz2 z Wb/m. Determine the z component of B.
Problem (2): owing magnetic circuit, the depth of the core is 5 em, the relative permeability of the the length of the air gap is 1 mm, N, 1000,42A, NA 500, ( 1A, Ns core is 4000, len i the energy density in the air gap is 39788.74, determine i. Ignore fringing effect. Ho 4 x 10-7 H.m-1. (15 pts) Core: Area A Permeability a A. -5cm N, turns NB NA 50cm
Problem (2): owing magnetic circuit, the depth of...
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