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- Find the electric field a distance z above the midpoint of a straight line segment of length 2L, which carries a uniform line charge A.Suppose a piece of infinite length. We have the surface density of Sigma, which has width a, find the field at distance z؟A large non-conducting slab of area A and thickness d has a charge density rho=Cx^4. The origin is through the center of the slab. That is to say, it bisects the slab into two equal volumes of d/2 thickness and with an area of A, with -d/2 to the left of x=0, and d/2 to the right of x=0. Express all answers in terms of C, x, and any known constants. Gaussian surface 1 (cylinder) is located such that its volume encompasses the charge contained within the slab. Apply Gauss's Law to cylinder 1 to determine the electric field to the left and to the right of the slab. Make sure you incude the domains over which the field is valid.
- Consider a closed surface S fully enclosing the point charge Q. Which of the following is true about the net electric flux through S?calculate the flux of the vector field through the given surface. ~F = z ~k through a square of side length 5 in the plane z = 2. The square is centered on the z-axis, has sides parallel to the axes, and is oriented in the positive z-direction.Find the electric field at a distance h from the center of a ring of radius R, whose linear charge density is homogeneous and equal to λ
- Charge is distributed uniformly with a density ρ throughout an infinitely long cylindrical volume ofradius R. Show that the field of this charge distribution is directed radially with respect to the cylinder.A semicircle ofradius a is in the first and secondquadrants, with the center of curvatureat the origin. Positive charge+Q is distributed uniformly aroundthe left half of the semicircle, andnegative charge -Q is distributeduniformly around the right half ofthe semicircle (Fig. ). Whatare the magnitude and direction of the net electric field at the originproduced by this distribution of charge?Compute the flux of the vector field F=2xi+2yj through the surface S, which is the part of the surface z=36−(x^2+y^2) above the disk of radius 6 centered at the origin, oriented upward. flux = _____
- Find the magnitude of the electric field at a point R/2 from the center if throughout an insulating sphere with radius 4R, charge Q were distributed uniformly.Find the electnc field intensity at the point P(8,4,4) due to a uniform line charge lying along the x-axis and extending from (6) to + (-6)?Solve the following:a. Find the flux through a spherical Gaussian surface of radius a= 1 m surrounding a charge of 8.85 pC.b. Find the value of the electric field at a distance r= 10 cm fromthe center of a non-conducting sphere of radius R= 1 cm whichhas an extra positive charge equal to 7 C uniformly distributedwithin the volume of the sphere.