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An electric field is found to be <3xyz, 2x2/z, x+y+z>. What is the x-component of the electric field vector at position (2, 6, 1)m?
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- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?The volume charge density of a spherical charge distribution is given by p(r)=p0ear , where p0 , and a are constants. What is the electric field produced by this charge distribution?At a distance d from a charge, the magnitude of the electric field is E. What would be the magnitude of the electric field a distance 3d from the same charge?
- What is the magnitude of the electric field E on the z axis as a function of z, for z>0This equation is of the electric charge of a uniform disk which is charged at point z which is perpendicular to the center of the disk. (z=0 is part of the plane of the disk). R= radius of disk, Q= total charge of disk, k= coulomb's constant. If k=1 units, Q=1 units, R=8 units, what is Edisk, z when z=6 units?what is the electric field at y?
- A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 4 ✕ 10−8 C at location <−0.6, 0, 0> m. At location <0, 0.08, 0> m, what is the electric field contributed by the polarization charges on the surface of the metal sphere? (Express your answer in vector form.)The sides of a right triangle are BC=3, AC=4, and AB=5 cm. if +10 statC charges are placed at the corners B and C, what is the magnitude and direction of the electric intensity at A?A solid conducting sphere of radius R has a uniform charge distribution, with a density = Ps * r / R where Ps is a constant and r the distance from the center of the sphere. Prove a) the total charge on the sphere is Q = πPsR ^ 3 b) the electric field of the sphere is given by E = (1 / 4πε0) * (Q / R ^ 4) * (r ^ 2)
- Two concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2” respectively, find the distribution of electric field strength in space , and make the E-r relationship curve.The electric field intensity in a region is E = 3x2zax + 2xyay - yz2az N/C. Determine the charge density at the point (1, 4, 1).A solid conducting sphere of radius R carries a positive electric charge Q. For what values or r is the electric field, E(r) = 0?
