n empty space (εr = 1), the region x1
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In empty space (εr = 1), the region x1 <x <x2 is filled with material with a dielectric coefficient εr = 8 as a planar infinitely large plate. The geometry is shown in the figure below.
Region I: In (x <x1), the electric field vector has been observed as E1= (4.5) uX + (-4.5) uy+ (-7.5) uz. II. Region: By determining (x1 <x <x2) de εr = 8 electric field E2. E2 write its value numerically.
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- An insulating sphere of radius R has a non-uniform charge density given byp = Ar 2 for r R. Find the electric field both inside and outside the sphere.ER For the configuration shown in the figure below, suppose a = 5.00 cm, b = 20.0 cm, and c = 25.0 cm. Furthermore, suppose the electric field at a point 18.0 cm %3D from the center is measured to be 3.95 x 10 N/C radially inward and the electric field at a point 50.0 cm from the center is of magnitude 199 N/C and points radially outward. From this information, find the following. (Include the sign of the charge in your answer.) Insulator Conductor (a) the charge on the insulating sphere C (b) the net charge on the hollow conducting sphere (c) the charge on the outer surface of the hollow conducting sphere CP In the figure above a semi-infinite nonconducting rod (that is, infinite in one direction only) has uniform linear charge density A. NOTE: Use a standard xy coordinate system with a to the right and y upward, and express your answers to parts (a) and (b) in terms of R, X, and eg. (a) Determine the x component of the electric field at point P. (b) Determine the y component of the electric field at point P. y = (c) Determine the counterclockwise angle 0 that the electric field makes with the +x axis. Unit= Choose one ▼
- A uniform line charge of density Q' has the form of a semicircle of radius a, lying in the xy plane, in free space, as shown in the figure below. If Q' > 0, the electric field intensity È due to this charge at the point on the z axis defined by the coordinate z = a can be represented as Q'In empty space (εr = 1), the region x1 <x <x2 is filled with material with dielectric coefficient εr = 4 as a planar infinitely large plate. The geometry is shown in the figure below. Pay attention to the coordinate system placement. I. Region: In (x <x1) the electric field vector is observed as E1 = (- 1.5) ux + (-5.5) uy + (-8.5) uz. II. Region: (x1 <x <x2) de εr = 4 By determining the electric field E2, write the value of the x-component: E2x numerically.A closed surface with dimensions a = b = 0.461 m and c = 0.7837 m is located as in the figure. The electric field throughout the region is nonuniform and defined by E (a + Bx²) î where x is in meters, a = 3 N/C, and 3 = 5 N/(C. m²). Y E C. b X What is the magnitude of the net charge enclosed by the surface? Answer in units of C. Answer in units of
- The figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6 C/m^3. If the inner and outer radii of the sphere a = 10 cm and b = 20 cm, respectively, find the electric field strength E as a function of the distance from the center of the sphere's shell r, with r from zero to 30 cm.The figure below shows a very long tube of inner radius a and outer radius b that has uniform volume charge density p. Find an expression for the electric field between the walls of the tube-that is, for aA spherical cavity is excised from the inside of the sphere. The cavity has radius a/4 and is centered at position ℎ→, where |ℎ→|<3a/4, so that the entire cavity is contained within the larger sphere. Find the electric field inside the cavity. trying to find as a vector in terms of any or all of ρ (Greek letter rho), ϵ0, r→, and h