A very long solid nonconducting cylinder of radius Ro and length l (Ro «l) possesses a uniform volume charge density Pe (C/m°), figure(Figure 1). Part B Determine the electric field at points inside the cylinder (R < Ro). Do only for points far from the ends.

A very long solid nonconducting cylinder of radius Ro and length l (Ro «l) possesses a uniform volume charge density Pe (C/m°), figure(Figure 1). Part B Determine the electric field at points inside the cylinder (R < Ro). Do only for points far from the ends.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 83AP: The infinite slab between the planes defined by z=a/2 and z=a/2 contains a uniform volume charge...

See similar textbooks

Related questions

Q: An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with…

A: The Gauss law inside a closed Gaussian surface is defined as:∮E→.da→=qencε0………(1)where,qenc is the…

Q: Consider two concentric insulating cylinders of infinite length. The inner cylinder is solid with…

A: Consider a Gaussian surface as a cylinder that have a radius of r, and the length l. Draw the…

Q: We will choose a symmetric Gaussian surface, which is the surface a cylinder excluding its ends,…

A: Equation 1 is, ∮E·dA=qencε0EA=qencε0

Q: A charge of + 8 uC is evenly distributed over the volume of an insulating sphere of 6 cm radius.…

A: (a) Let ρ denotes the charge density, Q denotes the total charge, R denotes the radius, E denotes…

Q: d) Find the surface charge densities oin and oout of the inner and outer surfaces, respectively, of…

A: Charge inside the non-conducting spherical shell

Q: Po Fo/4 To A sphere of Radius r, carries a constant volume charge density p, as seen in the figure.…

A: We can use superimposition mathod to solve above We can superimpose a -vely charge small sphere on…

Q: Using the method of integration, what is the electric field of a uniformly charged thin circular…

Q: 1.) Given: V(r) = 1+ (a) B² = 0₁ b.) { →∞0 r2 What is the behaviour of the electric field if…

Q: An 4.7 meter long and 0.195 diameter tube is filled with Hydrogen in the presence of a uniform…

Q: A quarter-disc in the first quadrant has a surface charge density given by K cos φ C/m2 . If the…

A: Solution: Given that charge density p = K cos φ C/m2 radius = b field at point P(0,0, -h)

Q: A rectangular sheet with length 5.00 m and width 3.00 m is immersed in a uniform electric field with…

Q: If the electric flux density is given by D = x²a, + y²z a,y determine the m volume charge density at…

Q: A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure…

A: Flux is the cross product of electric field and cross section area.

Q: Find the electric flux ( in units of N.m²/C) through the surface in the figure ( dashed line) given…

A: Given values:- Charge,(Q)=35.6 pC=35.6 x 10-12 C -----(1) The permittivity of free space,(ε0)=8.8542…

Q: A thin, circular plate of radius B, uniform surface charge density a, and total charge Q, is…

Q: Using the method of integration, what is the electric field of a uniformly charged thin circular…

A: We need to find the electric field due to a circular charged disc at a distance Xo from the centre…

Q: Consider the uniform electric field E = (4000 j + 3000 k) N/C. What is its electric flux through a…

A: Given the radius of the circular loop (R)=2.72m. The loop lies in the XY-plane. This means that the…

Q: Consider the three-dimensional conductor in the figure, that has a hole in the center. The conductor…

Q: The figure here shows a Gaussian cube of face area A immersed in a uniform electric field that has…

A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three sub parts…

Q: Electric Flux and Gauss' Law 1. Calculate the electric flux through a trapezoid, with measurements…

A: 1-Given: Smaller base of trapezoidal, a=4 cm Larger base of trapezoidal, b=7 cm Height of…

Q: Calculate the absolute value of the electric flux for the following situations (In all case provide…

Q: An electric charge Q is distributed uniformly along a thick and enormously long conducting wire with…

Q: Two concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2”…

Q: A В R C D

A: The linear charge density (λ) of charge distribution is defined as the charge (q) per unit length…

Q: Consider a hollow spherical conductive shell of radius (R) 0.2 m with a fixed charge of +2.0 x 10-6…

A: Given, Radius R = 0.2 m Charge q = 2.0 x 10-6 C

Q: In Fig-1, there are two infinite planes A and B, parallel to the YZ plane. Their surface charge…

A: The electric field due to an infinite sheet of charge having a surface charge density σ…

Q: An infinitely long cylindrical shell, with uniform charge density p, has an inner radius of X and an…

A: (given) ρ is the uniform charge density of infinitely long cylindrical shell, λ is the uniform…

Q: For an infinitely long wire with uniform line-charge density, 2, along the z-axis, the electric…

Q: Cons A charge of 87.6 pC is uniformly distributed on the surface of a thin sheet of insulating…

Q: Two infinite, nonconducting sheets of charge are parallel to each other, as shown above. The sheet…

Q: o. Now consider a neutral spherical conductor whose radius is 8 cm. There is a spherical hole cut…

Q: Consider two long, thin, concentric cylindrical shells. The smaller shell has a radius ‘a’ and…

A: (a) Region 1: r<aconsider a gaussian cylinder of radius r and length l inside the inner…

Q: Calculate the electric flux through a trapezoid, with measurements of 4 cm at the smaller base, 7 cm…

Q: A large non-conducting slab of area A and thickness d has a charge density rho=Cx^4. The origin is…

A: Let the given non-conducting slab has origin X=0 at the center of the slab as shown in the diagram.…

Q: An infinite sheet lie on the xz plane and z axis points outward from the page (not shown). A solid…

Q: A solid nonconducting sphere of radius R = 6.7 cm has a nonuniform charge distribution of volume…

Q: Gauss's law, what is the electric field at distance r perpendicular to the wire? (Consider the cases…

A: Suppose an electric field charge (Q) is distributed uniformly along a thick and enormously long…

Q: Consider an infinitesimal segment located at an angular position θ on the semicircle, measured from…

A: Let σ be defined as the charge density. Given the distribution of charge, Q is around the…

Q: An infinitely long cylindrical conductor has radius R and uniform surface charge density O. In terms…

A: This question is based on distribution of electric charge.

Q: Two large, parallel, non-conducting sheets, each with a fixed uniform charge on one side, have…

Q: dx P. + + + + + + t + dq Evaluate an expression for the electric field at point P of a uniformly…

A: Here we first find the electric field due to small element after that we integrate to find the…

Q: Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as…

A: The electric flux of a uniform electric field through an area is defined as the scalar product of…

Q: A cylinder of radius R has a charge density given by p = Po/r where po is a constant, for r R. Find…

A: Question 1 Given data The radius of the cylinder is R

Q: A metal ball (electrically conductive) with a radius of R = 10cm was placed in a vacuum and charged…

Q: A nonuniform electric field given by 3xî + 4ĵ pierces the Gaussian cube shown in Figure (E is in…

A: Given data: The electric field, E→=3xi⏜+4j⏜. Since the front face of the Gaussian cube is between…

Q: A nonconducting spherical shell of inner radius a, and outer radius b has (within its thickness) a…

Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

Need help with part B pls

Constants I Periodic
A very long solid nonconducting cylinder of radius Ro
and length l (Ro «l) possesses a uniform volume
Part B
charge density pe (C/m°), figure(Figure 1).
Determine the electric field at points inside the cylinder (R < Ro). Do only for points far from the ends.
Express your answer in terms of the variables pE, Ro, R, and appropriate constants.
?
a
b
|X|
X•10n
PR ?
Ein
0.
%3D
2ɛ R
Figure
1 of 1
Submit
Previous Answers Request Answer
+ + + +
+ +
Ro
X Incorrect; Try Again
+°+ + +
+ +
+ +
The correct answer does not depend on: Ro.
+ +
+ + + + + +
Provide Feedback
圓
+,

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(a) Calculate the electric flux through the open hemispherical surface due to the electric field E =E0k (see below). (b) If the hemisphere is rotated by 90( around the what is the flux through it?
A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. (i) Over how many of the cubes faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cubes faces is the electric flux zero? Choose from the same possibilities as in part (i).
A charge of + 8 uC is evenly distributed over the volume of an insulating sphere of 6 cm radius. Gauss using the law of charge distribution center a) r = 4 cm and b) electric field at r = 8 cm distances find? c) Find the electric flux through a Gaussian surface given at r = 8 cm? NOTE: Englısh not my tongue language so sometimes i cant reading handwriting can u use computer ? thanks
Determine the electric field at a distance `d` to the right of a thin-walled cylindrical shell with uniform distributed charge (See attached image). Provided are: the total charge `Q`, radius `R`, and shell length `h`. I can compute most of the solution, however, I don't understand the integration limits (See attached image). Given that the point on which I'm calculating the electric field is on the right side of the shell, shouldn't I be integrating from `d + h` to `d` instead of the other way around? If not, why?
Consider a uniform electric field of E = (a, b, 0) and a disk of radius R What is the flux through the disk if it sits in the yz-plane? What is the flux through the disk if it sits in the xy-plane? What is the maximum flux through the disk as it rotated through all possible orientations?
Positive charge is distributed with a uniform density λ along the positive x-axis from r to ∞, along the positive y-axis from r to ∞, and along a 90° arc of a circle of radius r, as shown below. What is the electric field at O? (Use the following as necessary: λ, r, and ε0.) E = _____ i + ______ j + ______ k
Determine the total charge distribution on r = b, and on r = a., explain Check if the electrical field for this configuration match the findings that for all points r inside the circle r<a is E= q/4piΕor2 and for all points r outside the shell r>a is E=0
Consider an infinitesimal segment located at an angular position θ on the semicircle, measured from the lower right corner of the semicircle at x=a, y=0. (Thus θ=π2 at x=0, y=a and θ=π at x=−a, y=0.) What are the x- and y- components of the electric field at point P (dEx and dEy) produced by just this segment? Express your answers separated by a comma in terms of some, all, or none of the variables Q, a, θ, dθ, and the constants k and π.
A solid nonconducting sphere of radius R = 6.7 cm has a nonuniform charge distribution of volume charge density ρ = (16.7 pC/m3)r/R, where r is radial distance from the sphere's center. (a) What is the sphere's total charge? What is the magnitude E of the electric field at (b) r = 0, (c) r = R/2.0, and (d) r = R? *I don't need answer a. * hint: Did you construct a Gaussian sphere through any given radial point, concentric with the actual sphere? What is the charge enclosed by the Gaussian sphere? (Do you see that with a variable density, integration is required?) Did you then apply Gauss' law to get the field?
In Figure 2, there is a positive charge, +q, at point P(d,0,0).At x=0, there is an infinite conducting sheet which is grounded(V=0). At x=3d, there is a constant surface charge densityρs[C/m2] covering whole y-z plane. Dielectric constant isalso ?1 = ?0 for ? > 3?.Hint: Use image theorem.a) Determine the electric field vectors at point C(x,y,z) where ? ∈ (0,3?).Hint: Be careful of what happens at x=3d.b) Determine the electric field vectors at points A(2d,0,0), B(3d-,0,0), B(3d+,0,0).
A solid insulating plastic sphere of radius a carries atotal net positive charge 3Q uniformly distributed throughout its interior.The insulating sphere is coated with a metallic layer of inner radius a andouter radius 2a. The conducting metallic layer carries a net charge of -2Q. Apply Gauss’s law to find the magnitude of the electric field in the region r < a. Inthe figure, draw the Gaussian surface you are using, and indicate on that surface the direction of anyvectors which appear in the mathematical expression of Gauss’s law. Express your answer in terms ofa, Q, r, and ε0. (If you get an expression involving ρ, substitute it from above to re-express youranswer in terms of the stated variables.)
i.Compare the electric flux in a cubical surface of a side 10cm and spherical surface of radius 10 cm, when a charge of 5µC is enclosed by them. ii.The electric field intensity of a point charge can be infinite. Where does this occur and what is the physical meaning of this ?