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Fundamentals of Electromagnetics with Engineering Applications
- Electrostatics Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -7 nC/m at x = -8, y = -8, while the other has a charge density of 9 nC/m at y = -4, z = -8. Determine the y-component of the electric field in V/m at (1, 1, 5). All coordinates are measured in meters.arrow_forwardA long, straight wire containing a semi-circular region of radius 0.95 m is placed in a uniform magnetic field of magnitude 2.20 T as shown in the figure. Calculate the net magnetic force acting on the wire when it carries a current of 3.40A.arrow_forwardA line charge along the y-axis has length L going from y = -L/2 to y = L/2. It has uniform line charge density rL. a) Find the electric scalar potential V in the x-z plane. b) Find the electric field intensity E from rL directly by applying Coulomb's law. c) Find the electric field intensity E from the electric scalar potential.arrow_forward
- Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -5 nC/m at x = 0, y = -6, while the other has a charge density of 6 nC/m at y = -4, z = -1. Determine the y-component of the electric field in V/m at (3, 9, 8). All coordinates are measured in meters.arrow_forwardA nonuniform magnetic field B inside a medium with magnetic susceptibilityχm = 4 is given as B = 3z ax Tesla the magnetization current densityarrow_forwardAn infinitely long wire carrying current is extended along the z-axis. A square plate with edge length a, lying in the yz plane, is placed next to the wire. Find the magnetic flux passing through the plate surface.arrow_forward
- Find the work done in moving a charge of 0.3 C from the point A(2, 0, 0) to the point B(0, 2, 0) through the field E = 6x²āx + 6yāy + āz V/m along: (a) a straight-line orarrow_forwardAn infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as (), where ρo, a and b are positive constants and r is the distance from the axis of the cylinder. Use Gauss’s law to determine the magnitude of the electric field at radial distances (a) r < R and (b) r > Rarrow_forwardA charge +Q, is uniformly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r from the centre of the sphere where : (i) 0 < r < R and (ii) r > Rarrow_forward
- A +6.00 -μC point charge is moving at a constant 8.00 x 106m/s in the +y-direction, relative to a reference frame. At the instant when the point charge is at the origin of this reference frame, what is the magnetic-field vector Bit produces at the following points: (a) x=0.500 m, y=0, z=0; (b) x=0, y=-0.500m, z=0; (c) x=0, y=0, z=+0.500m; (d) x=0, y=-0.500 m, z=+0.500m?arrow_forwardhe electric field in the region of space shown is given by: E = (5i + 2j+6k) N/C, What is the magnitude of the electric flux through the Top face of the cube shown? Given that the length of the cube (L) = 6 m.arrow_forwardLet D = (10r^2+ 5e^-r)a, C/m^2: (a) Find P, as a function of r. (b) Find the total chargelying within a sphere of radius a centered at the origin.arrow_forward
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