Please show steps with the graph. The magnetic field intensity is given in a certain region...
Please show steps with the graph.
The magnetic field intensity is given in a certain region of
space as H = [(x + 2y)/z2]ay + (2/z)az A/m. (a) Find ∇×H. (b) Find
J. (c) Use J to find
the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤
z ≤ 5,
in the az direction. (d) Show that the same result is obtained
using the other
side of Stokes’ theorem.
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Please show steps with the graph.
The magnetic field intensity is given in a certain region...
The magnetid field intensity is given in certain region of space as H = [(x +...
The magnetid field intensity is given in certain region of space as H = [(x + 2y) / z²]ŷ + (2 / z)ẑ A/m. Find J Use J to find the total current passing through the surface z = 4, 1 ≤ x ≤ 2, 3 ≤ y ≤ 5, in the ẑ direction.
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.
The magnetic field in a region of space is given by: Ba(x2+22)7+(y2+22)7+(x2+z2)k) where alpha is some...
The magnetic field in a region of space is given by: Ba(x2+22)7+(y2+22)7+(x2+z2)k) where alpha is some constant, x, y, and z are the coordinates in space about the origin and i, j, and k are unit vectors pointing along the x, y, and z-axes Also in the region of space is a conducting square loop with side lengths of L which is placed parallel to the xy-plane, centered on the z-axis, and has a z-coordinate of z Find an expression...
Please show steps We have that the instantaneous magnetic field H of a wave propagating in...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
a) In a certain region, u 5 sin 210 t a, A/m. Find the rate of...
a) In a certain region, u 5 sin 210 t a, A/m. Find the rate of change of flux over the surface of 20 m2 2Ho, 3E0, the magnetic field intensity is given as H = E= b) In a certain region, J (za-4yaytxa) Find py if pv (x, 0, z, t) 0 cos wt A/m2 Solution:
The magnetic field in the certain region is .128 T, and...
The magnetic field in the certain region is .128 T, and its direction is that of the +z axis in the figure below. What is the magnetic flux across the surface:(A) abcd, befc, aefd;(B) What is the net flux through all five surfaces that enclose the shaded volume?
The magnetic field intensity in all of space is given in terms of spherical coordinates: (1...
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
1. Find the magnetic field intensity H everywhere in air due to the volume current density...
1. Find the magnetic field intensity H everywhere in air due to the volume current density J- uniformly distributed over the inner cylinder o radiusa in the region 0spsa,oses 2r.-acz < and the uniform surface current distribution J.-i,, which nows on the cylindrical shell that is located at ρ=b,0 φ 2r,-oczco. Note that both current densities flow in the 2 direction
5. The electric field in a certain region of space is given by the vector field...
5. The electric field in a certain region of space is given by the vector field Vector E(Vector r)= Vector E(x,y,z)= (x-z)hatx+(z-y)haty V/m Find any two points P(x1,y1,z1) and Q(x2,y2,z2) such that the electric field at P is perpendicular to the electric field at Q. Evaluate the electric field at each of these two points. (Hint: Use the dot product.).
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the...
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the magnetic flux through x-1,0 < 1,1 < z < 4. c) Calculate J (d) Determine the total magnetic flux through the surface of a cube defined by 0 x <2> 0 < y < 2, 0 < z < 2.
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the...
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.
The magnetic field in a region of space is given by: Ba(x2+22)7+(y2+22)7+(x2+z2)k) where alpha is some constant, x, y, and z are the coordinates in space about the origin and i, j, and k are unit vectors pointing along the x, y, and z-axes Also in the region of space is a conducting square loop with side lengths of L which is placed parallel to the xy-plane, centered on the z-axis, and has a z-coordinate of z Find an expression...
Please show steps
We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
a) In a certain region, u 5 sin 210 t a, A/m. Find the rate of change of flux over the surface of 20 m2 2Ho, 3E0, the magnetic field intensity is given as H = E= b) In a certain region, J (za-4yaytxa) Find py if pv (x, 0, z, t) 0 cos wt A/m2 Solution:
The magnetic field intensity in all of space is given in terms
of spherical coordinates:
(1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
1. Find the magnetic field intensity H everywhere in air due to the volume current density J- uniformly distributed over the inner cylinder o radiusa in the region 0spsa,oses 2r.-acz < and the uniform surface current distribution J.-i,, which nows on the cylindrical shell that is located at ρ=b,0 φ 2r,-oczco. Note that both current densities flow in the 2 direction
5. The electric field in a certain region of space is given by the vector field Vector E(Vector r)= Vector E(x,y,z)= (x-z)hatx+(z-y)haty V/m Find any two points P(x1,y1,z1) and Q(x2,y2,z2) such that the electric field at P is perpendicular to the electric field at Q. Evaluate the electric field at each of these two points. (Hint: Use the dot product.).
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the magnetic flux through x-1,0 < 1,1 < z < 4. c) Calculate J (d) Determine the total magnetic flux through the surface of a cube defined by 0 x <2> 0 < y < 2, 0 < z < 2.
7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the...
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