A thin cylindrical shell of radius R1=6.2cm is surrounded by a second cylindrical shell of radius R2=9.3cm. Both cylinders are 5.0 m long and the inner one carries a total charge Q1=−0.77μC and the outer one Q2=+1.54μC.
A) For points far from the ends of the cylinders, determine the electric field at a radial distance r from the central axis of 4.1 cm . B) For points far from the ends of the cylinders, determine the magnitude of the electric field at a radial distance r from the central axis of 6.9 cm . C) Determine the direction of the electric field at a radial distance r from the central axis of 6.9 cm . D) For points far from the ends of the cylinders, determine the magnitude of the electric field at a radial distance r from the central axis of 12.3 cm . E) Determine the direction of the electric field at a radial distance r from the central axis of 12.3 cm .
A thin cylindrical shell of radius R1=6.2cm is surrounded by a second cylindrical shell of radius...
A thin cylindrical shell of radius R1=6.0cm is surrounded by a second cylindrical shell of radius R2=8.1cm, as in the figure (Figure 1). Both cylinders are 9.0 m long and the inner one carries a total charge Q1=−0.73μC and the outer one Q2=+1.60μC. Part B For points far from the ends of the cylinders, determine the magnitude of the electric field at a radial distance rr from the central axis of 6.9 cmcm . Part D For points far from...
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...
5. Find the electric field E of an infinitely long cylindrical shell with volume charge density ped = k/? where ? is the radial distance from the central axis of the cylinder. The inner radius of the shell is a and the outer radius is b.
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...
2. A modified coaxial cable consists of a solid cylinder (radius 'a') with a uniform current density and a concentric cylindrical conducting thin shell (radius 'b'). The outer and inner current have an equal magnitude, but are opposite in direction. Io (along outside) (along the axis) (off-axis view) In terms of radial distance 'r', and the relevant parameters in the diagram above, A) Derive an expression for the magnetic field inside the solid cylinder (r <a) B) Derive an expression...
Chapter 23, Problem 028 GO A charge of uniform linear density 3.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 6.00 cm, outer radius = 10.8 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 16.8 cm from the axis of the shell? What is the surface charge density on the (b) inner and...
Two long, charged, thin-walled, concentric cylinders have radii of 3.0 and 6.0 cm. The charge per unit length is 4.9 ✕ 10- 6 C/m on the inner shell and -8.5 ✕ 10-6 C/m on the outer shell. (a) Find the magnitude and direction of the electric field at radial distance r = 4.9 cm from the common central axis. (Take radially outward to be positive.) __________ N/C (b) Find the magnitude and direction of the electric field at r =...
A long, conductive cylinder of radius R1 = 3.00 cm and uniform charge per unit length λ = 604 pC/m is coaxial with a long, cylindrical, non-conducting shell of inner and outer radii R2 = 10.5 cm and R3 = 12.0 cm, respectively. If the cylindrical shell carries a uniform charge density of p = 79.8 pC/m, find the magnitude of the electric field at the following radial distances from the central axis:
A coaxial cable is constructed from a central cylindrical conductor of radius r A = 1.70 cm carrying current lA = 6.50 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rs = 14.0 cm and outer radius rc = 15.0 cm with a current of 38.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? 9 Tc 0 IA...
A coaxial cable is constructed from a central cylindrical conductor of radius rA = 1.40 cm carrying current IA = 7.90 A in the positive x direction and a concentric conducting cylindrical shell with inner radius rB = 14.0 cm and outer radius rC = 15.0 cm with a current of 32.0 A in the negative x direction (see figure below). What are the magnitude and direction of the magnetic field at the following points? = 7.90 A A coaxial...