(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? (b) Next the charge is moved off centre, but still enclosed by the gaussian cube. What is the electric flux through the cube?
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(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?
(b) Next the charge is moved off centre, but still enclosed by the gaussian cube. What is the electric flux through the cube?
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- A conducting sphere with a net charge q and radius a sits at the center of a hollow conducting sphere with a net charge Q, inside radius b and outside radius c. (a) What is the surface charge density (charge per area) σ at each of the three surfaces, at a, at b and at c? (b) What is the electric field as a function of position? Include answers for r<a, a<r<b, b<r<c, and r>c.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?the electric field at point P just outside the outer surface of a hollow spherical conductor of inner radius 10 cm and outer radius 20 cm has mangnitude 450 N/C and is directed outward. when a particle of unknown charge Q is introduced into the center of the sphere. the electric field at P is still directed outward but is now 180N/C. (a) What was the net charge emclosed by the outer surface before Q was introduced ? (b) What is charge Q? After Q is introduced.what is the charge on the (c) inner and (d) outer surface of the condutor?
- A concentric hollow insulating spherical shell with inner radius rį=1.6R and outer radius r2=4.7R has a point charge Q1=-14.95Q at the center. If the insulating shell has a uniform volume charge density p =7.13(Q/R³), find the electric field at a point midway between inner and outer surface of the insulating sphere, Er = -) interms of Q -and radial unit vector. (Express your answer in 2 decimal places). 4 TE R?A hollo-insulating sphere has inner radius (1 cm) and outer radius (3 cm), holds a total charge of (5µC). find the electric field at (2 cm) from its center.The figure shows a Gaussian surface in the shape of a cube with edge length 1.70 m. What are (a) the net flux through the surface and (b) the net charge denc enclosed by the surface if the electric field in the region is in the positive y direction and has a magnitude that is given by E= 4.50y N/C? What are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex = -4.73 N/C and Ey = (8.99 +4.50y) N/C? (a) Number (b) Number (c) Number (d) Number i Units Units Units Units <
- A charge Q-7.14 nC is located at the center of a Gaussian sphere of radius R=10.0 cm. The sphere lies within a uniform upward electric field of magnitude E=2100 N/C. The net electric flux through the sphere is :A solid, insulating sphere of radius a = 2 cm has been charged uniformly by a density ρ = 100 µC/m3. The magnitude of the electric field (in N/C) at a point inside sphere 2 cm from its center is....?P9 E4
- A disk of radius R = 3 m, lies in a region of uniform electric field E = 100 N / C. The electric field passes through the plane of the disk at an angle of 30. (a) Determine the electric flux through the disk.A small conducting ball that carries a charge of 30.0 nC islocated at the center of an electrically neutral hollow conductingsphere of inner radius 100 mm and outer radius 150 mm. Whatis the surface charge density (a) on the sphere’s inner surface and(b) on its outer surface? (c) Determine the electric field as a functionof r, the radial distance from the center of the sphereQuestion 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