Clearly organize your solutions and make sure your solution includes all 1) parts of the questions. Leave all answers in terms of only L, A, B, C, a. Consider a segment of length L of an infini...
Problem 3: Consider a conducting cylinder of radius a and length L surrounded concentrically by conducting cylindrical shell of inner radius b and equal length, as shown below. Calculate the structure capacitance per unit length.
1. (36 Points) A very long, nonconducting cylindrical shell has an inner radius A, an where outer radius B, and a nonuniform charge density given by pr B and a are constants. The nonconducting spherical shell is surrounded bya concentric, nonconducting cylindrical shell with inner radius B, outer radius C, and uniform charge density such that the magnitude of the electric field for r> C is zero. a. b. c. d. What is the total charge contained in the first...
stete the answer clearly please A very long, very thin straight line has a uniform charge per unit length of 2, where >. It is surrounded by a long, cylindrical, Insulating vinyl shell, which has an inner radius a and outer radius b. The line lies along the central axis of the cylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are long enough to approximate them...
A coaxial cable of length 1 = 4m consists of a solid cylindrical conductor surrounded by a cylindrical conducting shell. The inner conductor has a radius ry = 2mm and carries a charge Q, while the surrounding shell has a radius ra = 8mm and carries a charge -Q. Assume that Q = +8 x 10-8C and that air fills the gap between the conductors. (a) What is the capacitance of this cable? (b) What is the magnitude of the...
4) A very LONG hollow cylindrical conducting shell (in electrostatic equilibrium) has an inner radius R1 and an outer radius R2 with a total charge -5Q distributed uniformly on its surfaces. Asume the length of the hollow conducting cylinder is "L" and L>R1 and L>> R2 The inside of the hollow cylindrical conducting shell (r < R1) is filled with nonconducting gel with a total charge QGEL distributed as ρ-Po*r' ( where po through out the N'L.Rİ volume a) Find...
Consider two concentric cylindrical shells, one of radius R1, and the other of radius R2 > R1. The length of the shells is L, such that L >>> R1, R2 so we can assume that E = Er(r) (cylindrical symmetry, or in other words, when we are between Rl and R2, the cylinder seems infinite). Assume the inner shell has a total charge -Q, the outer shell total charge +Q. a) Find E(r) using Gauss's law. Use a Gaussian surface...
Concentric Cylindrical Conducting Shells 1 An infiinitely long solid conducting cylindrical shell of radius a = 4.8 cm and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density ?inner = -0.35 ?C/m. Concentric with the shell is another cylindrical conducting shell of inner radius b = 17.1 cm, and outer radius c = 21.1 cm. This conducting shell has a linear charge density ? outer = 0.35?C/m....
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1; the bounding surfaces are concentric spheres of radii a, b, and c. Suppose that the inner conductor has charge Q, and the outer conductor has charge Q2. a) What are the electric fields in the (i) r>c, (ii) b<r<c, (iii) a<r<b, and (iv) r<a regions? [10 marks] b) Find the electric potentials (i) on the outer shell and (ii) on the inner conductor. [10...
please help and show all work, preparation for final exam Problem 5. A Coaxial Conundrum Consider a coaxial cable whose cross-section is shown below. The outer conductor is a cylindrical shell, and the inner cylinder is solid. The cable has a length L (a) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (b) If the outer wire contains a net +Q and the inner wire contains a net -Q, compute (c)...
(Figure 1)An infinitely long conducting cylindrical rod with a positive charge, per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of -21 and radius , as shown in the figure. Part A What is E (r), the radial component of the electric field between the rod and cylindrical shell as a function of the distance from the axis of the cylindrical rod? Express your answer in terms of...