Suppose that you have an infinitely long, uniformly charged cylindrical shell that has a charge per...
Suppose that you have an infinitely long, uniformly charged cylindrical shell that has a charge per unit length (measured along the infinite direction) of λ.
Use Gauss’s law to show
a. that the electric field vanishes inside the shell
b. that the electric field outside the cylindrical shell is exactly the same as it is for a line of charge with the same charge per unit length.
Homework Answers
Add Answer to:
Suppose that you have an infinitely long, uniformly charged
cylindrical shell that has a charge per...
4. Consider an infinitely long, thin, uniformly charged wire length. Symmetry dictates that the e...
4. Consider an infinitely long, thin, uniformly charged wire length. Symmetry dictates that the electric field in cylindrical coordinates will have only an r component (i.e. no θ or k components). Use the superposition principle to show that the electric field in cylindrical coordinates is with charge density λ per unit (4.63) 2 Hint: You will find the integral useful 2 )3/2 5. Find an expression for the voltage field around the wire in question 4.
4. Consider an infinitely...
An infinitely long straight wire is uniformly charged with a positive linear charge density +?. It...
An infinitely long straight wire is uniformly charged with a
positive linear charge density +?. It is surrounded by an
insulating hollow cylinder (also infinitely long) of inner radius R
and outer radius 2R. The hollow cylinder has a uniform charge
density ?.
(a) Determine the value of ? if the electric field vanishes at
every point outside the cylinder (r > 2R).
(b) Determine the electric field in the region 0 < r <
R.
(c) Determine the electric...
(Figure 1)An infinitely long conducting cylindrical rod with a positive charge, per unit length is surrounded...
(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...
A long cylindrical shell (radius = 4cm ) has a charge uniformly distributed on its surface.
A long cylindrical shell (radius = 4cm ) has a charge uniformly distributed on its surface. If the magnitude of the electric field at a point 8.0 cm radially outward from the axis of the shell is 85 N/C, how much charge is distributed on a 2.0-m length of the charged cylindrical surface?
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge...
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge in it’s volume. What is the magnitude and direction of the electric field at any point outside the cylinder . Describe each step as you go along .Find the electric field within the cylinder and outside of it. Describe each step as you go along. Consider the total charge Q on a line of length h with the use of Gauss’s law compute the...
Gauss Law Consider an infinitely long conductive cylindrical shell whose thickness can be neglected, basically a...
Gauss Law Consider an infinitely long conductive cylindrical shell whose thickness can be neglected, basically a very long metal tube. The shell has a radius R and positive uniform charge distribution. Calculate the electric field inside and outside the cylinder. Now consider another cylindrical shell with radius R 'where R> R, basically another metal tube larger than in the previous exercise. The metal tube of radius R is placed within the other larger tube of radius R 'in a concentric...
Long Answers 13. An infinitely long wire is charged uniformly to +2.00 mC/m and then encased...
Long Answers 13. An infinitely long wire is charged uniformly to +2.00 mC/m and then encased in an insulating layer of radius 10.0 cm. A thin conducting cylindrical outer shell covers the insulation and is charged to -5.00 mc/m^2. Draw a diagram of this setup with an appropriate Gaussian surface. (5, pts) Then, use Gauss's Law to find the electric fields inside the insulating layer and outside of the shell. (10 pts) How would these answers change if the insulation...
Will thumbs up. Please show all work and explain Charge is distributed uniformly inside an infinitely...
Will thumbs up. Please show all work and explain Charge is distributed uniformly inside an infinitely long cylinder of radius a. The charge density is λ C/m. Using Gauss’s law, calculate the electric field at a point a distance r from the cylinder axis. Consider both cases r > a and r < a.
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R...
(1) Consider a very long uniformly charged cylinder with volume charge density p and radius R (we can consider the cylinder as infinitely long). Use Gauss's law to find the electric field produced inside and outside the cylinder. Check that the electric field that you calculate inside and outside the cylinder takes the same value at a distance R from the symmetry axis of the cylinder (on the surface of the cylinder) .
stete the answer clearly please A very long, very thin straight line has a uniform charge...
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...
4. Consider an infinitely long, thin, uniformly charged wire length. Symmetry dictates that the electric field in cylindrical coordinates will have only an r component (i.e. no θ or k components). Use the superposition principle to show that the electric field in cylindrical coordinates is with charge density λ per unit (4.63) 2 Hint: You will find the integral useful 2 )3/2 5. Find an expression for the voltage field around the wire in question 4.
4. Consider an infinitely...
An infinitely long straight wire is uniformly charged with a
positive linear charge density +?. It is surrounded by an
insulating hollow cylinder (also infinitely long) of inner radius R
and outer radius 2R. The hollow cylinder has a uniform charge
density ?.
(a) Determine the value of ? if the electric field vanishes at
every point outside the cylinder (r > 2R).
(b) Determine the electric field in the region 0 < r <
R.
(c) Determine the electric...
(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...
Long Answers 13. An infinitely long wire is charged uniformly to +2.00 mC/m and then encased in an insulating layer of radius 10.0 cm. A thin conducting cylindrical outer shell covers the insulation and is charged to -5.00 mc/m^2. Draw a diagram of this setup with an appropriate Gaussian surface. (5, pts) Then, use Gauss's Law to find the electric fields inside the insulating layer and outside of the shell. (10 pts) How would these answers change if the insulation...
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...
Most questions answered within 3 hours.
-
c. Node Admittance matrix and its use in different calculations
of power transmission system. Display the...
asked 15 minutes ago -
The only quantities of good 1 that Barbara can buy are 1 unit or
zero units....
asked 7 minutes ago -
6. Suppose that the Bank of Canada conducts an open market
purchase of $2000 from a...
asked 8 minutes ago -
Try to get the code down to less than 40 lines. (PYTHON)
import random
fave_number =...
asked 14 minutes ago -
A Chi-square distribution with 14 degrees of freedom is a
correct model for
Question 8 options:...
asked 12 minutes ago -
A) Suppose U=X∙Y3. Find X* and Y*.
B) Suppose U=X3∙Y. Find X* and Y*.
C) Suppose...
asked 17 minutes ago -
2.
Regression analysis was applied between sales (in $1,000) and
advertising (in $100), and the following...
asked 23 minutes ago -
I just took a final for chemistry 2. There were alot of
questions on cell potential....
asked 55 minutes ago -
A spherical weather balloon is filled with hydrogen until its
radius is 2.30 m. Its total...
asked 20 minutes ago -
Calculate the entropy change for the hypothetical process in
which 0.5 g of ice at 0°C...
asked 42 minutes ago -
When an airplane is flying 200 mph at 5000-ft altitude in a
standard atmosphere, the air...
asked 30 minutes ago -
Consider the economy of Freeland, whose overall actual price
index and actual output are P and...
asked 43 minutes ago