1. Given the magnetic field B 2 (a) Find the current density that produces it. (b)...
Suppose you do a calculation for the magnetic field for some situation and you find B=PR 23 for some positive constants B. and R. a) sketch this field in the yz plane, Can this field be physical ? ,/ b) If this field is physical, find the current density J associated with this magnetic field. If the magnetic field is unphysical, devise a magnetic field that is physical by adding in a term and glve an example of a functional...
2. Total Current Density The magnetic field , B, in a ferromagnetic material is a known function of spatial coordinates. (a) Prove that the total (conduction plus magnetization) volume current density in linear material, total = + m, can be expressed in terms of B as follows: total = x B/MO. (b) Specifically, compute total for B(x,y,z) = (2x +z)/y28+ (2/y)ý + (x + 2y)2 T. (c) In a uniform Ē field, assume there exists a volume current density T...
Please answer part C. 2. Total Current Density The magnetic field , B, in a ferromagnetic material is a known function of spatial coordinates. (a) Prove that the total (conduction plus magnetization) volume current density in linear material, Jtotal =Ī + ſm, can be expressed in terms of B as follows: Jtotal = x B / Ho. (b) Specifically, compute J total for B(x,y,z) = (2x +z)/y2x + (2/y9+ (x + 2y)2 T. (c) In a uniform Ę field, assume...
2) What is the magnetic field B if the magnetic vector potential A is given by: Ā= 5e-29 + 3e 32. (25 pts.)
Given a vector potential field configuration, A, (F) (xy)ỹ a) Calculate the magnetic field, B(F) b) Calculate V.A,(F) B(F), as in (a), but satisfies V.A,(f) = 0 c) Construct a vector potential, A2 (f), that produces the same d) Show by direct calculation that A,(r) produces the same as in part (a)
Q- 1) As shown in the figure, there exists a non -uniform surface current density given as eosin over S Ampere/meter elsewhere In vacuum where Jo is a constant. a) Compute the magnetic vector potential A at the 0 S' origin O. Hilt. А_fs10..-ds' S'Ir-rl b) Compute the magnetic flux density vector B at the origin O. Hint: Biot Savart Law Figure 1. The geometry of the problem Q- 1) As shown in the figure, there exists a non -uniform...
given a solid wire of radius R in which there is a volume current density J= a/s solve for a, do not leave a in solution. Calculate total current I (s is radial term) Find magnetic field inside find magnetic vector potential A inside
Problem 2. Find the displacement current density associated with the magnetic field H-A cos(5x) cos(ot +B)a A2 sin(5x) sin(ot -Bz)a Problem 2. Find the displacement current density associated with the magnetic field H-A cos(5x) cos(ot +B)a A2 sin(5x) sin(ot -Bz)a
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
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...