# An infinite conducting cylindrical shell has radius

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Uniformly Charged Cylindrical Shell A very long non-conducting cylindrical shell of radius R has a uniform surface charge density Find the electric field (a) at a point outside the shell and (b) at a point inside the shell. Strategy Apply the Gauss's law strategy given earlier, where we treat the cases inside and outside the shell separately ...
1. Physics 42 HW#2 Chapter 24 . Problems: 4, 15, 18, 19, 27, 31, 34, 52, 54, 57, 63, 65 . 4. Consider a closed triangular box resting within a horizontal electric field of magnitude E = 7.80 × 104 N/C as shown in Figure P24.4.
2. An infinite line charge of uniform electric charge density λ lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with a material of permittivity ϵ and electrical conductivity σ. The electrical conductive in the material follows Ohms law.
3. Problem 57 Hard Difficulty. An infinitely long, cylindrical, insulating shell of inner radius a and outer radius b has a uniform volume charge density ρ. A line of uniform linear charge density λ is placed along the axis of the shell. Determine the electric field for (a) r < a, ( b) a < r < b, and ( c) r > b.
4. (Ans. inside the inner conductor, between the shell and the inner conductor, ) Exercise 4 Determine the magnetic field in a cylindrical hole of radius inside a cylindrical conductor of radius . The cylinders are of infinite length and their axes are parallel, being separated by a distance . The conductor carries a current of uniform density.
5. A long cylindrical insulator has a uniform charge density of 1.0 #C/m3 and a radius of 9.0 cm. a) What is the electric field inside the insulator at a distance of 4 cm? b) What is the electric field at 17 cm? c) How much work must you do to bring a q = 0.05 #C test charge from 17 cm to 4 cm?
6. A long cylindrical insulator has a uniform charge density of 1.0 #C/m3 and a radius of 9.0 cm. a) What is the electric field inside the insulator at a distance of 4 cm? b) What is the electric field at 17 cm? c) How much work must you do to bring a q = 0.05 #C test charge from 17 cm to 4 cm?
7. Example 5: Spherical shell A thin spherical shell of radius a has a charge +Q evenly distributed over its surface. Find the electric field both inside and outside the shell. Solution: Step 1: The charge distribution is spherically symmetric. Step 2: Since +Q is uniformly distributed on the shell, the electric field must be
8. A coaxial cable consists of a long cylindrical copper wire of radius r 1 surrounded by a cylindrical insulating shell of outer radius r 2.A final conducting cylindrical shell of outer radius r 3 surrounds the insulating shell. The wire and conducting shell carry equal but opposite currents I uniformly distributed over their volumes.
9. A uniformly charged (thin) non-conducting rod is located on the central axis a distance b from the center of an uniformly charged non-conducting disk. The length of the rod is L and has a linear charge density λ. The disk has radius a and a surface charge density σ. The total force among these two objects is (1) F~ = λσ 2 0 L+ √ a2+b2− ...