Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell.
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = 4.5 x 103 N/C. What is the linear charge density of the shell?
Homework Answers
A cylinder of radius just under r cm encloses only the solid cylinder and has an electric field of Es/3 at its surface.
Apply Gauss’s law:
2π(rcm)L(Es/3) = λL/e, where L is the length of the Gaussian cylindrical surface.
The L’s on both sides cancel, and one can solve for the charge per unit length, λ.
We get:
2π(rcm)(Es/3) = λ/e
=> λ = 2π(rcm)(Es/3)e
= 2π*r*(4.5 × 10^3/3)*(8.85*10^-12)
= 8.34*10^-8 r
[Plug in r to get the numerical value]
Add Answer to:
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell.
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical...
Figure (a) shows a narrow charged solid cylinder that
is coaxial with a larger charged cylindrical shell. Both are
nonconducting and thin and have uniform surface charge densities on
their outer surfaces. Figure (b) gives the radial
component E of the electric field versus radial distance
r from the common axis. The vertical axis scale is set by
Es = 3.6 × 103 N/C. What is the
linear charge density of the shell?
E 0 14.4 -ES r(cm)
Figure (a) shows a narrow charged solid cylinder thatis coaxial with a larger charged cylindrical...
Figure (a) shows a narrow charged solid cylinder that
is coaxial with a larger charged cylindrical shell. Both are
nonconducting and thin and have uniform surface charge densities on
their outer surfaces. Figure (b) gives the radial
component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set byEs = 4.8 × 103 N/C. What is the
linear charge density of the shell?
The vertical axis scale is set by Es = -4.8x 103 N/C. What is the linear charge density of the shell?
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = -4.8x 103 N/C. What is the linear charge density of the shell?
2. A modified coaxial cable consists of a solid cylinder (radius 'a') with a uniform current...
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, 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
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 positively charged particle is held at the center of a spherical shell. The figure gives...
A positively charged particle is held at the center of a
spherical shell. The figure gives the magnitude E of the electric
field versus radial distance r. The scale of the vertical axis is
set by Es = 13.5 × 107 N/C. Approximately, what is the net charge
on the shell?
E (107N/C) 24 r(cm) 8 10
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)
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...
A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r.
A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 14.5 × 107 N/C. Approximately, what is the net charge on the shell?
A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r.
A positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es = 10.7 × 107 N/C. Approximately, what is the net charge (in C) on the shell?
A long, conductive cylinder of radius R 2.70 cm and uniform charge per unit length 151...
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....
Figure (a) shows a narrow charged solid cylinder that
is coaxial with a larger charged cylindrical shell. Both are
nonconducting and thin and have uniform surface charge densities on
their outer surfaces. Figure (b) gives the radial
component E of the electric field versus radial distance
r from the common axis. The vertical axis scale is set by
Es = 3.6 × 103 N/C. What is the
linear charge density of the shell?
E 0 14.4 -ES r(cm)
Figure (a) shows a narrow charged solid cylinder that
is coaxial with a larger charged cylindrical shell. Both are
nonconducting and thin and have uniform surface charge densities on
their outer surfaces. Figure (b) gives the radial
component E of the electric field versus radial distancer from the common axis. The vertical axis scale is set byEs = 4.8 × 103 N/C. What is the
linear charge density of the shell?
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 positively charged particle is held at the center of a
spherical shell. The figure gives the magnitude E of the electric
field versus radial distance r. The scale of the vertical axis is
set by Es = 13.5 × 107 N/C. Approximately, what is the net charge
on the shell?
E (107N/C) 24 r(cm) 8 10
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....
Most questions answered within 3 hours.
-
(63
#14)
which of the following statments best describes how chamging
the concentration of the substances...
asked 2 hours ago -
In the following reaction, which element is undergoing
oxidation: Na2SO3 + N2O --> N2 + Na2SO4...
asked 3 hours ago -
Which of the following pairs of ions have the same electron
configuration?
I: Br− and Se2−...
asked 6 hours ago -
The Foremost Composite Materials Company is planning a two-day
sales conference for October 19-20. The conference...
asked 6 hours ago -
3) Illustrate the observed pattern of relatedness of organisms
versus adaptations to specific conditions. This means...
asked 6 hours ago -
In winter a lake has a 0.35 m thick ice layer over 1.10 m of
water....
asked 7 hours ago -
Assuming the following has been encrypted with a Vigenere cipher
below, use the method(s) and assumptions...
asked 8 hours ago -
How would I use switch statements to write a program that will
take an input of...
asked 8 hours ago -
Imagine a reaction in which methane gas combusts at a constant
pressure of 1 atm and...
asked 8 hours ago -
Two parallel wires (each 12 m in length) are separated by a
distance of 0.065 m...
asked 8 hours ago -
Suppose there were three masses at the corner of uniform
equilateral triangle. The masses are m1...
asked 8 hours ago -
Situation: A building that is 618 m above the ground floor. How
many times would a...
asked 8 hours ago