. (a) In the figure a positive charge of 10.0 µC is located at the centre of a gaussian cube. What is the electric flux through the top surface, if the cube has a side length of 2.54 cm?
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Q: Normal
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(b) Next the charge is moved off centre, but still enclosed by the gaussian cube. What is the electric flux through the cube?
(c) Does the flux through the top surface change? Give a reason for your answer
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- A uniformly charged sphere, made of insulating material, has a radius a and a total charge of 2Q. The sphere is concentric with a conducting spherical shell that has inner radius b and outer radius c. (see figure). The shell has charge of 2Q as wella) Using Gauss’s Law, and with adequate explanation, derive an expression for the electric field inside the sphere, r<a)b) Using Gauss’s Law, and with adequate explanation derive an expression for the electric field outside the sphere, but before the inner surface of the shell a<r<b)c) Using Gauss’s Law, and with adequate explanation derive an expression for the electric field inside the metalshell, b<r<cd) Using Gauss’s Law, and with adequate explanation derive an expression for the electric field outside the metal shell, r>c,e) What is the charge on the inner surface of the metal shell? explainA point charge Q is located on the axis of a disk of radius R at a distance h from the plane of the disk. Using Gauss' Law show that if one fourth of the electric flux from the charge passes through the disk, then R= V3hWe have point charge of size 2.1 C sitting a distance d/2 directly above the center of a square of side length 11 mm. What is the magnitude of the electric flux through the square? for my answer I got 7.56*1010 N*m2/C which was wrong
- A conductive spherical shell with inner radius a and outer radius b has a point charge Q in its center. The shell's total charge is −3Q, and it is isolated from its surroundings. (a) Find the electric field in every space. (b) What are the surface charge densities on the inner and outer surfaces of the shell conductive?An infinitely long line charge having uniform charge per unit length 2 lies a distance d from the center of a sphere of radius R. Determine the total electric flux through the surface of the sphere due to the line charge. Consider the cases a) R d.A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. Through how many of the cube's faces is the electric flux zero? 1. 0 2. 2 3.4 4. 6
- Consider a spherical shell with radius R and surface charge density a= ao cos 0, where is the polar angle in spherical coordinates and the shell is centered at the origin. a) Without computing any integral, argue why is the total charge carried by the shell zero. b) Evaluate the charge carried by the upper hemisphere, in terms of 0.(a) Use Gauss's Law to find the electric field inside a uniformly charged sphere of radius R and charge density p. (b) Two spheres, each of radius R and carrying uniform charge densities +p and −p, respectively, are placed so that they partially overlap. Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is constant, and find its value. +(100) A hollow sphere of radius .05 m contains a negative charge sitting right at its center. (The sphere itself is not charged.) The electric field everywhere on the surface of the sphere has the magnitude 3.0 x 10* N/C. Draw the sphere and show the electric field vectors on your drawing. What is the total electric flux through the surface of the sphere? How much charge does the sphere enclose? How much force would a +3µC charge feel if it where on the surface of the sphere?
- Use gauss' law to explainA charge is initially surrounded by a cubic Gaussian surface whose volume is d³. The cubic surface is replaced by a spherical surface of radius d/2. The net flux of the spherical surface is none of the above. equal to the net flux through the cube. greater than the net flux through the cube. less than the net flux through the cube.Question 1: Gauss' Law: Electric field from surface charge For this problem assume constants are all in SI units that are not shown. An electric field given by E = (3z³+5)k. Calculate the flux through surface S, with side length a = 2, shown below if the surface is at the following heights: (a) z = 0 (b) z = -2 (c) z = 2 E 2.0 m 1.5 m a (d) The electric field in a region is given by E= a/(b + cx)î, where a = 500N m/C, b = 4.0m, and c 1.0. What is the net charge enclosed by the shaded volume shown below? 1.0 m a 425 y