The magnetic field intensity is given in a certain region of space as
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Chapter 7 Solutions
Loose Leaf For Engineering Electromagnetics
- There are point loads ,Q1 = 5, Q2 = 8 and Q3 = 6 at points A(-8,0), O(0,0) and B (6,0) in the OXY plane, respectively.Write the value of the x-component of the electric field in ke numerically at the point P(0, 10) on the-axis.arrow_forwardIn the upper half space, which is the empty space, I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,10). Half-space z <0 is from a material with relative magnetic permeability µr = 5. Write numerically the sum of the components (Hx + Hy + Hz) at the point A (-5, -5,0 +) of the magnetic field H [A / m] vector in terms of the given magnitudes (in the half space z> 0).arrow_forwardI = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at the point C (0,0,8) in the upper half space, which is the empty space. If z <0 half space, it is made of material with relative magnetic permeability µr = 7. Write the sum of the components( Hx + Hy + Hz )of the magnetic field H [A / m] vector at point A (-2, -4,0-) (in half space z <0) in terms of the given magnitudesnumerically.arrow_forward
- The image shows a coaxial cable (two nested cylinders) of length l, inner radius a and outer radius b. Note that l >> a and l >> b. The inner cylinder is charged to +Q and the outer cylinder is charged to −Q. a) Calculate the Poynting vector S in the cable.arrow_forwardQ1: a- find the area of the following surface r=4 , π/4<θ<2π/3 ,0<φ<π b- find the volume of the following region 4<ρ<5 ,π/3<φ<π ,-2<z<2 Q2: Given F ⃗=2xya ̂_x+(x^2-z^2 ) a ̂_y-3xz^2 a ̂_z Find the line integral ∫_A^B▒〖F ⃗.(dl) ⃗ 〗 from A(0,0,0) to B(3,2,4) along the segments (0,0,0) to (0,2,0) to (3,2,0) to (3,2,4)arrow_forwardIn empty space (er = 1), the region x1 <x <x2 is filled with material with a dielectric coefficient er = 8 as a planar infinitely large plate. The geometry is shown in the figure below. Pay attention to the coordinate system placement.Region I: In (x <x1), the electric field vector was observed as E1 =(4.5) ux + (7.5) uy+(8.5) uz.Region II : (x1 <x <x2) de er = 8 by determining the electric field E2,Write the value of the x-component: E2x numerically.arrow_forward
- In empty space (er = 1), the region x1 <x <x2 is filled with material with a dielectric coefficient er = 8 as a planar infinitely large plate. The geometry is shown in the figure below. Pay attention to the coordinate system placement.Region I: In (x <x1), the electric field vector was observed as E1 =(4.5) ux + (7.5) uy+(8.5) uz.Region II : (x1 <x <x2) de er = 8 by determining the electric field E2, write the value of the x-component: E2x numericallyarrow_forwardQ3/Given the current density J = 60 pa, A/m in cylindrical coordinates: (a) Determine the magnetic field H, where H varies with p only and has only a 0 component; (b) integrate J over the circular surface p = 1,0< 0< 2n, z 0, to determine the total current passing through that surface in the a, direction ; (c) find the total current using a line integral around the circular path p = 1, 0< 0< 2n, z = 0.arrow_forwardA current element currying 20 mA in a az direction lies along the entire z axis. Find H in rectangular coordinates at : (a) PA(20,0,4), (b) PB(2,-4,4).arrow_forward
- There is an infinitely long cylinder of radius 0.5 cm along the z-axis, and it is filled uniformly with a volume charge density of 3.5 C/m3. Apply Gauss’s Law to find an expression for the electric field in two cases: a) For ρ > 0.5cm b) For 0 <ρ<0.5 cmarrow_forwardLet D = 6xy ax + 2(xz + 3z2) ay + 3yz az C/m2. Evaluate the surface integrals to find the total charge enclosed in the rectangular parallelepiped 0 < x < 2, 0 < y < 2, 0 < z < 4.arrow_forwardGiven point P(—2, 6, 3) and vector A = yax + (x + z)ay, express P and A in cylindricaland spherical coordinates. Evaluate A at P in the Cartesian, cylindrical, and sphericalsystems.arrow_forward
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