7.34 In free space, the magnetic flux density is (a) Show that B is a magnetic field (b) Find the...
4. A radial magnetic field 2.39 X 106 cos Ф A/1 exists in free space. Find magnetic flux ФВ crossing the surface defined by-n/4 (2/s)6T. Determine the magnetic flux ФВ crossing the 5. For the magnetic field B 2.5m, 0.0 < z < 2.0m. s plane surface defined by 0.5
3. Assume a three-dimensional space is influenced by a uniform magnetic flux density field B : R3 R3 such that B(, y, 2)0, 1.5,0]T T [note, the field is uniform because its definition does not depend on the position (x, y, z)]. Consider also three open planar surfaces Sm With m = 1,2,3; each of them has an area of 2 m2. (The periphery of the open surface could be associated with a coil of wire.) The normal vectors of...
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
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...
Problem 2: (4 points) Given the magnetic flux density B- B,(a, +a). Find the absolute value of magnetic flux crossing the region x20 and y20 of a spherical surface defined byx'+y*+-2-1 Problem 2: (4 points) Given the magnetic flux density B- B,(a, +a). Find the absolute value of magnetic flux crossing the region x20 and y20 of a spherical surface defined byx'+y*+-2-1
1. A potential field in free space is expressed as V2 cyz a) Find the total energy stored within the cube 1 < x;y;z < 2. b) What value would be obtained by assuming a uniform energy density equal to the value at the center of the cube? 1. A potential field in free space is expressed as V2 cyz a) Find the total energy stored within the cube 1
5. Setup (but do not evaluate) one integral (of any type) to find the flux of vector field F through surface S, where S s the unit cube given by 0 < x < 1,0 < y 1.0 < z 1, 5. Setup (but do not evaluate) one integral (of any type) to find the flux of vector field F through surface S, where S s the unit cube given by 0
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...
HOMERWORK SET1-Electrostatics Due Date Thu, Sept 20th fv-22y2 V in free space, fnd the eergy stored in a lme defined by 1 sI, Hint: Given V(x.y). we can get the eectric field since E-grad(V) A spherical conductor ofradíus α carries a surface charge with density pa-Determine the potential energy in terms of a. 2. 3 IfE-3,5a V/m, calculate the potential energy stored within the vokume defined by o r< 1,0<y<2,0fc3 4. In free space, Vpe sinip) (a) find E (b)...
A magnetic field of magnitude 0.53 T is directed vertically upward. (a) Find the magnetic flux through a flat surface of area 19 cm^2 if the surface is vertical. (b) Find the magnetic flux through a flat surface of area 19 cm^2 if the surface is horizontal. (c) Find the magnetic flux through a flat surface of area 19 cm^2 if the surface is at angle of 58 degree with the horizontal.