2. A solid cylinder of radius R1 and permeability u1 has a uniform surface current density...
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...
A long coaxial cable carries a uniform (positive) surface charge density σ1=5μC/m2. On the inner cylinder radius R1=0.8mm, and uniform surface charge density on the outer cylindrical shell (radius R2=1.4mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. Find the surface charge density σ2 of the cylindrical shell of radius R2.
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...
Problem 4, 30 marks The infinitely long conducting cylinder of radius R carries the volume current density directed along its axis whose absolute value is a cubic function of the distance from the center of the cylinder r, j(r)-br3, where b is a known constant. a. Find the magnitude and direction of the magnetic field B forr>R. b. Find the magnitude and direction of the magnetic field B for r<R. c. Imagine that the conductor has magnetic permeability H (5...
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...
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 long, conductive cylinder of radius R 2.70 cm and uniform charge per unit length 151 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2 9.45 cm and R3 10.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p 79.8 pC/m3, find the magnitude of the electric field at the following radial distances from the central axis: Number 1.51 cm 0 N/C Number RR, R 6.08 cm 44.65 N/C Incorrect....
The figure is a section of a conducting rod of radius R1 = 1.40 mm and length L = 14.40 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 12.8R1 and the (same) length L. The net charge on the rod is Q1 = +3.52 × 10-12 C; that on the shell is Q2 = -2.04Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r...
Problem 029 The figure is a section of a conducting rod of radius R1 = 1.30 mm and length L = 14.00 m inside a thin-walled coaxial conducting cylindrical shell of radius R2 = 11.2R1 and the (same) length L. The net charge on the rod is Q1 = +3.74 × 10-12 C; that on the shell is Q2 = -2.24Q1. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial...
1. A very long, uniformly charged cylinder has radius R and charge density \rho. Determine the electric field of this cylinder inside (r<R) and outside (r>R)2. A large, flat, nonconducting surface carries a uniform surface charge density σ. A small circular hole of radius R has been cut in the middle of the sheet. Determine the electric field at a distance z directly above the center of the hole.3. You have a solid, nonconducting sphere that is inside of, and...