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Two infinite extent current sheets exist at
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Fundamentals of Electromagnetics with Engineering Applications
- 1)A ring of radius R carries a uniformly distributed positive totalcharge Q. Calculate the electric force on the ring due to a non-uniformly chargedrod of length L, which is placed at a distance of a from the ring along the centralaxis perpendicular to the plane of the ring as shown in Figure 5. The linearcharge density of the rod is given by = 0(R2 +z2)3=2 where 0 is a constant.arrow_forwardQ2/ Three uniform sheets of charge are located in free space as follow: 2μC/m2 at x=-3, -5μC/m2 at x=1, and 4μC/m2 at x=5. Determine E at the points:a) (0,0,0) b) (2.5,-1.6,4.7) c)(8,-2,-5) d)(-3.1,0,3.1)arrow_forwardThe structure in the figure has 4 concentric spherical media,which have;0<r<a free spacea<r<b ρv (C/m3) constant volume charge densityb<r<c εr relative permittivityc<r free spaceFind ?⃗ , ?⃗ and ?⃗ in these 4 regions and also plot themarrow_forward
- An infinitely long uniform line charge lies along the x-axis. If the line charge has a density of 12 nC/m, determine E at point (7, 3, -4)marrow_forwardA uniform sheet of charge with ρs = ―1/3? nC/m2 is located at z = 5 m and a uniform line of charge with ρL = ―25/9 nC/m is located at z = -3 m and y = 3 m. Find E at (0,-1,0).arrow_forwardThree infinite uniform sheets of charge are located in free space as follows: 3 nC/m2 at z = − 4, 6 nC/m2 at z = 1, and − 8 nC/m2 at z = 4. Find E at the points: (a) PA(2, 5, − 5); (b) PB(4, 2, −3); (c) PC(−1, −5, 2); (d) PD(−2, 4, 5).arrow_forward
- A wedge-shaped surface has its corners located at (0, 0, 0), (2, 0, 4), and (2, 3, 4). If thesurface has charge distribution with ρs = 10x2yz mC/m2, find the total charge on thesurface.arrow_forwardGiven a coaxial capacitor with the length of L which has two coaxial conductors with radius a=1 cm and b= 4 cm for inner and outer conductor, respectively. The inner conductor carries the total charge of –Q C whilst the outer carries +Q C. If the length of the coaxial, L = 100m and the coaxial is filled with the lossy Teflon (εr = 2.2 and σ = 4 Sm-1), determine: i. Potential Different between r = 3cm and r = 6cm ii. Energy in region a<r<b Note: In dielectric material, permittivity ε=εoεr and D=εEarrow_forwardThe 10mc / m ^ 2 load seen in the free space is distributed along the disc level with an inner radius of 1m and an outer radius of 2m.1) total load on the disc2) If a 1mc load is placed at the point 2m above the axis of the load, find the force that will affect this load.arrow_forward
- Two very long parallel conducting wires carry currents I1 = 1 A, I2 = 2 A in opposite directions. They hang horizontally from pylons by pairs of insulating cables, each of length a = 1 m, and are a distance d << a apart. The wires have mass m per unit length and the cables make angle theta to the vertical. Find theta. Show solvingarrow_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_forwardFor a solid cylindrical conductor centered at the origin of radius “4cm” and carrying a uniform current of 3 A in the “z” direction. Find B at the following points: a) (2,6,0) b) (6,2,0)arrow_forward
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