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- 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.Hello, I understand that to calculate the net charge in the shell, I need to integrate the equation from 4 cm to 6 cm with volume charge density times 2 * pi * r * dr. However, since the problem here provides me with a novel expression of p = b/r, I am a bit lost... Could you please tell me how I can solve such problem?COMPUTE THE FLUX
- The figure here shows a Gaussian cube of face area Aimmersed in a uniform electric field that has the positivedirection of the z axis. In terms of E and A, what is the fluxthrough (a) the front face (which is in the xy plane), (b) therear face, (c) the top face, and (d) the whole cube?To obtain the value of an unknown electrical charge, a group performed an experiment. From the graph of the electric potential (voltage) V in volts, as a function of the inverse distance (1/r) in m^-1, the group obtained an angular coefficient 6838 Nm^2/C by the linear equation of the best straight line. Knowing that V=(kq)/r, calculate the value of the electric charge, in nC (nanocoulomb), from the slope provided by the best line. Round the answer to a whole number. Use: k = 8.9876 x 10^9 N⋅m^2⋅C^−2Provide me complete solution on page Thanks4 jk
- 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 = _____Can Gauss's theorem reflect the distribution characteristics of field sources in a Gaussian surface? Why?Consider a hollow sphere of radii h and 3h, interior and exterior respectively. The charge density on the sphere is ρ=ar, C/m3, where a is a positive constant, and r is the distance from the center of the sphere to an arbitrary point inside the sphere. A point charge with charge Q, of magnitude −16πah4 C, is located at the center of the sphere. Find the electric field, Eux, of the distribution, sphere and point charge, at a point (P), on the x-axis, located at a distance of 2h, measured with respect to the center of the sphere. In this case consider that ah2= 4. Use k=9×109, ux unit vector in the x-direction, π=3.14
- If Force B on the x-z plane is equal to 300N and h = 4m and v = 10m, then what is the i and k components of Force B?Prove that the polarization flux through a closed surface is directly proportional to the enclosed bound chargeA metal ball (electrically conductive) with a radius of R = 10cm was placed in a vacuum and charged with a positive charge Q = 20μC. Using Gauss's law, determine the function describing the value of the radial component of the electric field intensity vector depending on the distance from the center of the spherical field for distances greater than or less than the radius of the sphere. Sketch the course of this function describing on the XY axes the characteristic values for the distance equal to the radius of the sphere at the center of the sphere.