a) Suppose you have a thin slab of charged material. It has a positive charge uniformly...
A charge of 7.3 nC is placed uniformly on a square sheet of nonconducting material, with side 19.0 cm, that lies in a horizontal plane. 1. What is the surface charge density? 2. What is the magnitude of the electric field just above the center of the sheet? The same charge is placed on a horizontal square conducting slab of side 19.0 cm and vertical thickness 1.0 mm. Assume that the charge distributes itself uniformly on the large square surfaces....
A charge of 6 nC is placed uniformly on a square sheet of nonconducting material of side 17 cm in the yz plane? (a) What is the surface charge density σ.(b) What is the magnitude of the electric field to the right (x> 0) of the sheet? (c) The same charge is placed on a square conducting slab of side 17 cm and thickness 0.07 mm. What is the surface charge density σ? Assume that the charge distributes itself uniformly on the...
4. Two very large thin slabs of metal are face to each other with a distance d apart. The total surface area of each slab is A. The top slab carries a total charge +Q and the bottom one has +20. The charges are uniformly distributed on the surface of the slab. The slab is so thin that you can ignore the charge on the four side surfaces. Find the electric field strength in the region in between the slabs.
A charge of -5.78 nC is uniformly distributed on a thin square sheet of nonconducting material of edge length 21.2 cm. What is the surface charge density of the sheet? What is the magnitude of the electric field next to the sheet and proximate to the center of the sheet?
A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=?d. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. Let the charge density of the slab be given by ?(x)=?0(x/d)2 where ?0 is a positive constant. Part B Using Gauss's law, find the magnitude of the electric field due to the...
A charge of -5.37 nC is uniformly distributed on a thin square sheet of nonconducting material of edge length 23.4 cm. What is the surface charge density of the sheet? Tries 0/5 Problem 22-60b: What is the magnitude of the electric field next to the sheet and proximate to the center of the sheet?
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R (we can consider the cylinder as infinitely long). Use Gauss's law to find the electric field produced inside and outside the cylinder. Check that the electric field that you calculate inside and outside the cylinder takes the same value at a distance R from the symmetry axis of the cylinder (on the surface of the cylinder) .
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I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
1. A very long, uniformly charged cylinder has radius R and charge density \rho. Determine the electric field of this cylinder inside (r<R) and outside (r>R)2. A large, flat, nonconducting surface carries a uniform surface charge density σ. A small circular hole of radius R has been cut in the middle of the sheet. Determine the electric field at a distance z directly above the center of the hole.3. You have a solid, nonconducting sphere that is inside of, and...
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3. (10 points) A uniformly charged isolated conducting sphere of 1.2 m diameter has a surface charge density of 8.1 uC/m2. Use Gauss's Law (properly) to calculate each of the following (remember to define a Gaussian Surface for each case): (Show your entire work for full credit) a. Calculate the electric field inside the sphere. b. Calculate the total electric flux leaving the surface of the sphere 3. c. Calculate the electric field outside the sphere.