Consider an infinite slab of thickness 2a and uniform volume charge density ρ. This is essentially...
An infinite slab of charge of thickness 10m lies on the x-y plane between z = -5m and z=+5m. The charge density, ρ, is 4 C/m3 and is a constant throughout the slab. (HINT: this is similar to what we did in class to find the E-field for an “infinite sheet” of charge… remember the cookie dough and the cookie cutter). a. Use Gauss's Law to find an expression for the Electric Field strength for any point inside the slab (-5m...
A nonconducting slab with volume charge density p has a finite thickness between z=-d and z=+d and is infinite in the plane perpendicular to the z-axis. Enter the correct expression of the electric field inside and outside the slab. Express your answers in terms of p, d, z, and ε0.
Slab of charge. Consider the infinite sheet of charge again but this time suppose the sheet has thickness 2D. Suppose the slab has uniform posi- tive charge-per-volume ρ. (a) What is the field E midway between the two surfaces? (b) Find the field at a point inside the slab a distance a < D from the midpoint. (c) Find the field at a point outside the slab a distance b > D from the mid- point. (d) Sketch a plot...
An infinite slab of charge of thickness 2z0 lies in thexy-plane between z=?z0 andz=+z0. The volume charge density ?(C/m3) is a constant.1-Use Gauss's law to find an expression for the electric field strength inside the slab (?z0?z?z0).Express your answer in terms of the variables ?,z, z0, and constant ?0.2-Find an expression for the electric field strength above the slab (z?z0).Express your answer in terms of the variables ?,z, z0, and constant ?0.3-Draw a graph of E from z=0 toz=3z0.
A planar slab of thickness of 4.00 cm has a uniform volume charge density of 7.20×10-2 C/ m3. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x = 8.00 cm?
A planar slab of thickness of 6.00 cm has a uniform volume charge density of 4.20×10-2 C/ m3. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x= 12.00 cm?
A planar slab of thickness of 4.00 cm has a uniform volume charge density of 1.20×10-2C/ m3. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x = 1.00 cm? What is the field for x = 8.00 cm?
8. A long coaxial cable (Fig 2b ) carries a uniform volume darge density ρ on the inner cylinder (radius a), and a uniform surface charge density ơ on the outer cylindrical shell (radius b. This surface charge is negative and of just the right magnitude so that the cable as a whole is electrically nt Find the electric field in each of the three regions:) inside the nnr cylinder (s < a), (ii) between the cylinders (a < s...
lb. A slab of insulating material with uniform charge density ρ and width 2W. Find the electric field inside and outside the slab (at distances from slab that are small compared to slab size)
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...