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Two perfect dielectrics have relative permittivities,
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Engineering Electromagnetics
- Boundary Conditions A dielectric sphere ε1= 2 εo is buried in a medium with ε2= 6 εo. Given thatE2= 10 sin θ ar + 5 cos θ aθ in the medium, calculate. E1 and D1 in the dielectric sphere.arrow_forwardQ1) Two spheres (concentric conducting) have a radius of () and (4) cm. They have a perfect dielectric between them (8r - 4) . The potential of inner sphere is (2V) and the outer is * (- 2V) , Calculate : A) V(r) . B E(r) . C) V at r = 4 cm . D) The location of the (0 - v) equipotential surface. E) The capacitance between them.arrow_forwardRegion 1 (z < 0) contains a dielectric for which εr1 = 2.5, while region 2 (z > 0) is characterized by εr2 = 1. Let E2 = -30ax + 50ay + 70az V/m, then electric field intensity E1arrow_forward
- In a dielectric material medium with relative dielectric constant Er = 3, the 5 MicroC Load is uniformly distributed over the sphere of radius R = 1. So what is the electric field inside the sphere 1 2 3 4 5 6 7 8 9 10 Sonrakiarrow_forwardHi, I need help with this question please Consider a coaxial cable of length l = 50 cm, inner radius of a = 3 cm, and outer radius of b = 5 cm. Due to the conductivity of σ = 0.05 S/m of the dielectric material, a total current of I = 1 mA flows radially outward between the two conductors. Find:a) the current density as a function of r,b) the electric field between the two conductors as a function of r, c) the voltage between the two conductors.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
- The points A(2,0,0) B(1,0,0), C(0,1,0), D(0,2,0) are inside the E^= ar^ r SinΦ + aΦ^ r2 CosΦ (V/m) Electric field. find the VAB over the B, C, D, A path?arrow_forwardIn a concentric spherical electrode system, the outer radius is 7 cm and the voltage is 100 kV and is constant. Find the maximum electric field for the value 3.5 of the geometric characteristic. Does puncture occur? What type is it. (Ed=65 kV/cm)arrow_forwardIn a material medium with relative dielectric constant LaTeX: \ varepsilon_r = 3 & varepsilon; r = 3, LaTeX: 5 \ mu C5μC load LaTeX: R = 2mR = 2m radius is uniformly distributed over the sphere volume. Accordingly, which of the following is the expression of electric field outside the sphere.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 numerically.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 numericallyarrow_forwardIn empty space (er = 1), the region x1 <x <x2 is filled with material with a dielectric coefficient er = 4 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 is observed as E1 = (- 0.5) ux + (5.5) uy + (-1.5) uz.Region II : By determining (x1 <x <x2) value er = 4 electric field E2,|E2|,write its value numericalarrow_forward
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