Two very long concentric cylindrical shells of radii r=0.05 m and R=0.1 m are located in air. The inner shell carries a uniformly distributed positive charge of linear density 2 nC/m. The outer shell carries a uniformly distributed negative charge of linear density -2 nC/m. Apply Gauss' Law to find the expression of the electric field at a point located at a distance x from the common axis, where r<x<R. Describe the chosen Gaussian surface.
Two very long concentric cylindrical shells of radii r=0.05 m and R=0.1 m are located in...
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....
The cross section of two concentric spherical shells is shown in the figure, with radii as given. The charge density on the WHOLE inner shell is -25.0 nc/m^2 and the charge density on the whole outer shell is -55.0nC/m^2. The inner and outer surfaces are respectively denoted by A=28mm,B=30mm,C=49mm and D=51mm. (epsilon0=8.85*10^-12 C^2/N*m^2) A) what is the charge density built up on surface A? B) what is the charge density built up on surface B? C) Use Gauss's law to...
Two long, charged, thin-walled, concentric cylindrical shells have radii of 4.3 and 7.0 cm. The charge per unit length is 4.8 × 10-6 C/m on the inner shell and -6.4 × 10-6 C/m on the outer shell. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 6.1 cm? What are (c) E and (d) the direction at r = 12 cm?
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...
Two concentric shells with radii a and b for the inner and outer ones, respectively. Both shells carry opposite charges (the inner one carries charge +Q and the outer one carries charge-Q). Determine the following: 1. (15 pts) the electric field values at distances r. wherer so; o srsb, and rb 2. (15 pts) the potential difference between the two shells
Two very long concentric conducting cylindrical shells are arranged as seen below. The inner shell has a radius a, and the outer shell a radius b. Each shell has a length L. A charge of -Q is spread over the inner shell and a charge of +Q resides on the outer shell. Ignore fringe fields (e.g. assume each cylinder is very long). Find the electric field everywhere in space. Find the potential difference between the two shells. Which one is...
PHYS-1032-001 TEST#2 Name Problem #3 Chapter 21 (5 points) Two concentric spherical shells have radiir,-1 m and rzr3 m. The uniformly distributed charge on inner shell is q -2nC and the charge on the outer sphere is q+4nc. Calculate the potential at a distance r-4 m from the center of the spherical shells. Calculate the difference of potentials between the outer and inner spherical shells. r you release charged particle of mass m. 1 mg with charge Q-6 a) b)...
Two concentric charged metal spherical shells are held fixed in space. All other charges are very far away. The smaller shell (call it shell A) has an inner diameter of 5 [cm], an outer diameter of 10 [cm], and a total charge of +10 [nC]. The larger shell (call is shell B) has an inner diameter of 25 [cm], an outer diameter of 30 [cm], and a total charge of +10 [nC]. Find the electric field (Both magnitude and direction)...
Two charged concentric spherical shells have radii 11.8 cm and 14.0 cm. The charge on the inner shell is 4.81 × 10- 8 C and that on the outer shell is 2.46 × 10- 8 C. Find the electric field (a) at r = 12.7 cm and (b) at r = 22.7 cm.
Two charged concentric spherical shells have radii 10.4 cm and 16.8 cm. The charge on the inner shell is 5.63 × 10- 8 C and that on the outer shell is 1.99 × 10- 8 C. Find the electric field (a) at r = 13.9 cm and (b) at r = 38.2 cm.