Please answer part C. 2. Total Current Density The magnetic field , B, in a ferromagnetic...
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...
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...
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.
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. A magnetic field B Bêz in a certain space. A circular conducting loop of radius 5 cm and total resistance 1.512 originally lies on the sy-plane with its center at the origin. (a) If a counterclockwise current I = 0.045 A is induced on the loop, find dB. (10%) (b) Forget about part (a). Now set B = 0.05T, and at time t = 0 the loop starts to rotate about the 3-axis at a angular rate w=0.057 rad/sec....
1. (a) A solid cylindrical straight wire of vadius a has a current I. flowng down t Eftha cument untfermly distributed over the outer surface of the wire (mone ts flowm throug)h the volume of the wre: t is all surface charge», what ts the surface current densty (b) Suppose that curfent does flow throughout the volume of the wtre, n such a way that the volume current density J grows quadratically wth drstance fram the central a*>s what then...