[20] 11. A nonuniform current flows in the +z direction. The current is contained within a...
3rd Question Consider a solid insulating sphere of radius b with nonuniform charge density ρ-ar, where a is a constant. Find the charge contained within the radius r< bas in the figure. The volume element dV for a spherical shell of radius r and thickness dr is equal to 4 π r2 dr.
A linear current J flows along the z axis in its positive direction starting at z = −∞. At the point z = −R the current spreads and begins to ow uniformly along the sphere of radius R centered at the origin of the coordinates, then gather at the diametrically opposite point z = R and continues to ow along the z axis towards the point z = ∞. Find the magnetic eld everywhere in space.
(9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R >=<-y+z, x - 2,x - y > S:z = 4 - x2 - y2 and z>0 (9a) Evaluate W= $ Pdx + Qdy + Rdz с (9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R>=<-y+z, x - 2, x - y > S:z = 4 - x2 - y2 and z 20 (9b) Verify Stokes' Theorem.
5.22 A long cylindrical conductor whose axis is coincident with the z axis has a radius a and carries a current characterized by a current density J żJo/r, where Jo is a constant and r is the radial distance from the cylinder's axis. Obtain an expression for the magnetic field H for (a) 0<r Sa (b) r > a
(8) The Divergence Theorem for Flux in Space F(x, y, z) =< P, Q, R >=< xz, yz, 222 > S: Bounded by z = 4 – x² - y2 and z = 0 Flux =S} F înds S (8a) Find the Flux of the vector field F through this closed surface. (8) The Divergence Theorem for Flux in Space F(x,y,z) =< P,Q,R >=< xz, yz, 222 > S: Bounded by z = 4 – x2 - y2 and z...
A nonuniform magnetic field in 3D space is generated by a steady current of 7 A, flowing along the x-axis in the direction of −ax.Consider the rigid loop C defined by.(Refer to picture of question please.) 1 point A nonuniform magnetic field in 3D space is generated by a steady current of 7 A, flowing along the x-axis in the direction of Consider the rigid loop C defined by C: x2 +(y+7)2 = 36, z=0. Assuming that C carries a...
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. Consider the surface of revolution that is given by the equation Z-R= -(x2 + y2)/R where [x],[y] < R/V2 . (a) Find the volume enclosed between the surface and the x-y plane. (b) Find the normal vector în and an equation for the tangent plane to the surface at i = ? (î+ ſ + Â). (Hint: Choose appropriate coordinate systems in each part).
If you could write out the solution neatly so I can study from it 8. (a) Find the center of mass of the cylinder {(x, y, z) : x2 +y2 < 1.0 <之-2). given that the density at point (r,y) is ,y, a2 + ). (Observe that 2.2 у = 0 by symmetry, so that no integration is required to find the and coordinates of the center of mass.)
A current sheet with surface current density K = 94 Am flows in the region-2 m < y < 2 m (implies infinite in x axis) the plane atz -0. Calculate magnetic field intensity H at position P = (0, 0, 3) meters. 少