Answered: An infinitely long cylinder of radius R…

An infinitely long cylinder of radius R is uniformly charged throughout its volume with density . Determine the strength of the electric field E inside the cylinder and outside.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 60P: A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the...

See similar textbooks

Related questions

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

A: The charge density of the thin sheet is, σ=Total chargeTotal area=QA…

Q: According to Gauss’ law, when a long rod or wire is charged with a uniform linear charge density,…

A: Given: A long straight wire linearly charged r is distance between wire and gaussian surface

Q: Consider a thin, spherical shell of radius 12.0 cm with a surface charge density OF 0.150 mC/m)…

A: Given The radius of the spherical shell is r = 12 cm. The surface charge density is σ = 0.150 mC/m2…

Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Option A A cylinder of radius R and height h with charge uniformly distributed over its surface for…

Q: a b - 3Q

Q: For which of the following charge distributions would Gauss's law not be useful for calculating the…

A: Gauss's law states that the net electric flux through any hypothetical closed surface is…

Q: A small conducting spherical shell with inner radius a and outer radius b is concentric with a…

A: Given:Small conductins shell's inner radius = aSmall conducting shell's outer radius = bLarge…

Q: A spherical Conductor of radius 0.330 m has a spherical cavity of radius 0.120m at its center. The…

A: Given: The radius of spherical conductor = 0.33 m Radius of cavity = 0.12 m Charge on the surface of…

Q: A solid insulating plastic sphere of radius a carries a total net positive charge 3Q uniformly…

Q: A flat square with sides 18 cm is placed in a uniform electric field of magnitude 5784 N/C. What is…

Q: A solid insulating sphere of radius 0.07 m carries a total charge of 25 µC. Concentric with this…

Q: Suppose you have q = 8 µC charge placed at the orign of your coordinate system. a) Using Gauss's…

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

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

A: The expression for the electric field due to ring at a distance xo is given as E=14πεoqxoR2+xo232…

Q: A solid sphere of radius a is concentric with a spherical conducting shell of inner radius b=2.00a…

A: (a) Draw a Gaussian spherical surface of radius(r) 1.5a as shown below.

Q: A point charge is located at the origin. Centered along the x axis is a cylindrical closed surface…

Q: A uniformly charged, straight filament 6.70 m in length has a total positive charge of 2.00 µC. An…

A: a) Electric field at the surface of cylinder due to a line charge is E=λ2πRεowhere, λ=linear charge…

Q: A solid insulating sphere of radius 0.07 m carries a total charge of 25 ??. Find (a) the charge…

A: electric field formula will be used here.

Q: An insulating solid sphere of Radius R1=10 cm with its uniform total charge of q= +8.4 C is put…

Q: disk of radius 0.10 m is oriented with its normal vector n at 30 degrees to a unform electric field…

Q: An infinite, uniformly charged sheet with surface charge density o cuts through a spherical Gaussian…

Q: A solid insulating sphere of radius 0.07 m carries a total charge of 25 µC. Concentric with this…

Q: + + + L 2. Two uniformly charged rods of length L are placed perpendicularly as shown above. The rod…

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

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: If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributed…

Q: Problem A nonconducting spherical shell of inner radius a=6.00cm and outer radius b=11.0cm is…

A: Hi. Since you have posted a question with multiple subparts and not specified which subparts you…

Q: A uniformly charged, straight filament 4.90 m in length has a total positive charge of 2.00 µC. An…

A: According to the given data, Length of the filament (l) = 4.9 m; Total positive charge on the…

Q: A uniformly charged, straight filament 5.00 m in length has a total positive charge of 2.00 µC. An…

A: The length of the filament, The total positive charge of the filament, The length of the…

Q: A spherical conductor of radius 0.330 m has a spherical cavity of radius 0.120 m at its center. The…

A: Radius of spherical conductor = 0.33 mRadius of cavity = 0.12 mCharge on the surface of spherical…

Q: A uniformly charged, straight filament 7.00 m in length has a total positive charge of 2.00 μC. An…

Q: Consider a thin, spherical shell of radius 12.0 cm with a surface charge density of 0.150 mC/m2…

A: The radius of the spherical shell is r = 12.0 cm = 0.12 m. The surface charge density is σ=0.150…

Q: The electric field intensity 2m from the surface of a charged sphere is 30.86 x10³ N/C. The charge…

Q: The electric field in a particular space is E→ = (x + 1.8)î N/C with x in meters. Consider a…

A: Electric flux through a closed surface is given by-ϕ=∮E.ds=Qenclosedε0

Q: A spherical conducting shell has a uniform surface charge density of 1.5 × 10-7 C/m2. What is its…

Q: a.What would be the flux through a closed, square cardboard box with dimensions 40cm x 40cm x 40cm…

A: Using Gauss law .

Q: A uniform charge density of 660 nC/m3 is distributed throughout a spherical volume of radius 6.00…

Q: In Figure 2, a sphere of radius r = 0.42 m carries a uniform volume charge density of rho = 2.3 ×…

A: SOlution: Given that r = 0.42 m rho = 2.3 × 10^-10 C/m^2 spherical cavity of radius 0.21 m

Q: Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed…

A: We have a spherical gaussian surface of radius R which is centered at the origin which we can assume…

Q: Figure (a) shows a nonconducting rod with a uniformly distributed charge +Q. The rod forms a 10/23…

Q: d.What would be the flux through the newly shrunken box if it was then moved so that it was now…

Q: Two conductors with concentric radii r1 and r2 are placed in such a way that their circle centers…

Q: An unknown charge sits on a conducting solid sphere of radius 9.5 cm. If the electric field 13 cm…

Q: A point charge is located at the origin. Centered along the x axis is a cylindrical closed surface…

Q: A solid ball of radius rb has a uniform charge density ρ. What is the magnitude of the electric…

A: (a) Calculating the magnitude of the electric field E(r)E( at a distance r>rb from the center of…

Q: A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 8.1 µC/m2.…

A: Given: The diameter is 1.2 m. The surface charge density is 8.1 μC/m2.

Q: In the figure below, a solid sphere, of radius a = 1.50 cm is concentric with a spherical conducting…

A: Given information: Radius of the sphere (a) = 1.50 cm = 0.015 m The inner radius of the shell (b) =…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

An infinitely long cylinder of radius R is uniformly charged throughout its volume with density . Determine the strength of the electric field E inside the cylinder and outside. Plot the dependence E (r), where r is the distance from the axis of the cylinder.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

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 long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
Recall that in the example of a uniform charged sphere, p0=Q/(43R3). Rewrite the answers in terms of the total charge Q on the sphere.
A hollow cylindrical shell has an inner radius of 2.0 cm, an outer cylinder of radius 5.0 cm, and a length of 5.0 m. The shell is charged with a total of 10.0 nC distributed uniformly throughout its volume. Use this context for the following two questions. Determine the magnitude of the electric field of the cylindrical shell at a radial distance of 5.4 cm, measured from the center of the shell perpendicular from its axis. Give your answer in units of N/C. Determine the magnitude of the electric field of the cylindrical shell at a radial distance of 4.7 cm, measured from the center of the shell perpendicular from its axis. Give your answer in units of N/C.
Sections AB and CD of a thin non-conducting ring of radius R are uniformly (with constant linear density) charged with charge + q and −q, respectively. The points ABCD form the vertices of the square. Find the electric field in the center of the ring.
Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q. Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, r, and and appropriate constants. Calculate the magnitude of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, a, r, and appropriate constants. Calculate the direction of the force that the charge distribution Q exerts on q.
Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q. Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, r, and and appropriate constants. Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, x, and appropriate constants. Calculate the magnitude of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, a, r, and appropriate constants. Calculate the direction of the force that the charge distribution Q exerts on q.
A semicircular wire of radius R is uniformly charged with Q₁ = 4.4Q and located in a two dimensional coordinate system as shown in the figure. A point charge Q₂ = 0.4Q is placed at 0.7R on the y-axis. Determine the electric field at point o in terms of kQ/R² where is the unit vector. Take rt-3.14 and provide your answer with two decimal places. Answer: Q₁ Q₂❤ 0 R Xx
Chapter 22, Problem 030 SN X Incorrect. The figure shows two concentric rings, of radii Rs and R, that lie on the same plane. Point P lies on the central z axis, at distance D from the center of the rings. The smaller ring has uniformly distributed charge Qs. What is the uniformly distributed charge on the larger ring if the net electric field at P is zero? State your answer in terms of the given variables. QL = R L+D (R): 21 5+D
Positive electric charge Q is distributed uniformly throughout the volume of an insulating sphere with radius R. Find the magnitude of the electric field at a point P a distance r from the center of the sphere.
Problem Using the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at x0 distance from its center? (Consider that the surface of the plate lies in the yz plane)
A cube of side I has one corner at the origin of coordinates and extends along the positive x-, y- and z-axes. Suppose the electric field in this region is given by E= (a + by) 3. Determine the charge inside the cube. a and b are some constants.
d 00 = A semicircular wire of radius R is uniformly charged with Q₁ -0.3Q and located in a two dimensional coordinate system as shown in the figure. A point charge Q2-9Q is placed at 0.36 R on the y-axis. Determine the electric field at point o in terms of kQ/R2F where f is the unit vector. Take mt=3.14 and provide your answer with two decimal places Answer: Q₁ Q₂ R 0