QUESTION 7
A slab of insulating material has thickness 2d, with d = 1.98 cm, and is oriented so that its faces are parallel to the yz-plane and given by the planes x = 1.98 cm and x = -1.98 cm. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. The slab has a uniform positive charge density ρ = 1.65 μC/m3. Using Gauss’s law, find the magnitude of the electric field due to the slab at x = 0.7 cm. (Give your answer in scientific notation using N/C as unit)
QUESTION 7 A slab of insulating material has thickness 2d, with d = 1.98 cm, and...
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 block of material insulator is 2d thick and oriented so that its faces they are parallel to the yz plane and given by the x = d and x = -d planes. The dimensions y and z of the block are very large compared to d and They can be considered essentially infinite. The block has a density of uniform positive charge r. a) Explain why the electric field due to the block it is equal to zero in...
A slab of insulating material (infinite in the y and z-directions) has a thickness d and a uniform positive charge density p. An edge view of the slab is shown in the figure below. (Submit a file with a maximum size of 1 MB.) (a) show that the magnitude of the electric field a distance x from its center and inside the slab is (b) Suppose an electron of charge -e and mass me can move freely within the slab. It...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...