A space charge of density p is uniformly distributed in an infinitely long cylinder of radius R. Then, for any point at distance r from the axis (relative permittivity = 1), P for 0 R 2 E, r? pr for 0 R 2 E, r

A space charge of density p is uniformly distributed in an infinitely long cylinder of radius R. Then, for any point at distance r from the axis (relative permittivity = 1), P for 0 R 2 E, r? pr for 0 R 2 E, r

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section24.4: Electric Field Of A Collection Of Charged Particles

Problem 24.5CE: A water molecule is made up of two hydrogen atoms and one oxygen atom, with a total of 10 electrons...

See similar textbooks

Related questions

Q: Electric charge is uniformly distributed inside a nonconducting sphere of radius . The electric…

Q: Consider a thin spherical shell of radius 14.0 cm with a total charge of 32.0 μC distributed…

A: Given : R = 14 cm = 0.14 m q = 32.0 μC = 32.0 × 10-6 C

Q: A spherical conducting shell has a radius R and a uniform surface charge density o. The ratio of the…

Q: A thick insulating cylindircal shell of inner radius a=1.9R and outer radius b=7.6R has a uniform…

Q: consider the electric field E= p cos oi + psin øj+ zk. The volume charge density (in 10 12 C/m³) at…

A: The solution is given below

Q: An excess negative charge is injected into the center of a spherical, solid, conducting ball. When…

A: Given : A statement and asked to find the option that is false : Given statement: An excess negative…

Q: For the configuration shown in the figure below, suppose a = 5.00 cm, b = 20.0 cm, and c = 25.0 cm.…

Q: A very large nonconducting plate lying in the xyplane carries a charge per unit area of s. A second…

Q: A ring of radius a 20.0 cm carries a uniformly distributed positive total charge Q= 30.0 µC. The…

A: Given that Radius , a= 20 cm Q= 30 ×10-6 C We need to calculate Electric field at x= 25 cm along…

Q: A very circular wire of radius a carries electric charge of uniform liner density p. On its axis,…

A: We need to find the position where the electric field due to the ring shall be maximum.

Q: At a distance D from a very long (essentially infinite) uniform line of charge , the electric field…

A: Givendistance D from a very longthe electric field strength is 1000N/Cwhat distance from the line…

Q: A thick insulating cylindircal shell of inner radius a=2.5R and outer radius b=5.2R has a uniform…

A: Given data: Inner radius a =2.5 R Outer radius b=5.2 R Magnitude of the electric field r =8.2 R

Q: A very large nonconducting plate lying in the xy -plane carries a charge per unit area of σ. A…

A: Given data:Charge per unit area = σ z = 2.00 cmCharge per unit area of other plate = -2σ

Q: A uniform linear charge density of 7.0 nC/m is distributed along the y axis from y = 2 m to y = 5 m.…

A: GivenCharge density λ= 7.0 nC/mElectric field , E(r) = 14π∈0qr2(r^)

Q: In this problem, a very long metallic rod with a uniform circular cross section of radius 0.35 mm…

A: We know that the electric field due to a long cylindrical charged metallic rod outside is, E = L /…

Q: A thick insulating cylindircal shell of inner radius a=2.7R and outer radius b=6.8R has a uniform…

A: A thick insulating cylindrical shell of inner radius a=2.7R and outer radius b=6.8R has a uniform…

Q: A hollow sphere has a unknown charges distributed uniformly over its surface. At a distance of 0.300…

A: SOlution: Given that distance from the center, d =0.3 m electric field E =1.78x10^2N/C

Q: A solid sphere of radius 40.0 cm has a total positive charge of 34.5 µC uniformly distributed…

Q: The ends of the bar with a uniformly distributed charge Q placed on the x-axis in the coordinate…

Q: A straight, nonconducting plastic wire 9.50 cmcm long carries a charge density of 135 nC/mnC/m…

Q: A thick insulating cylindireal shell of inner radius a=2.6R and outer radius b=6R has a uniform…

A: As a<b<r, so, this point lies outside the thick insulating cylindrical shell. The expression…

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

Q: A long coaxial cable is shown in the figure where the radii of the conducting concentric cylinders…

A: Recall Gauss's law∮E→.dA→=qencε0

Q: Consider any charge distribution with a charge densityp(f), let v be a spherical region of radius ..…

Q: What is the magnitude of the electric field produced at the distance of 1.00 m by an infinite line…

Q: What is the magnitude of the electric field produced at the distance of 1.00m by an infinite line of…

Q: A charge of 22.2 pC is distributed uniformly on a spherical surface (r1 3 2.0 cm), and a second…

A: The given values are, q1=22.2 pC=22.2×10-12 Cr1=2.0 cm=2.0×10-2 mq2=-9.2 pC=-9.2×10-12 Cr2=4.0…

Q: A particle (mass = 5.0 g, charge = 40 mC) moves in a region of space where the electric field is…

Q: A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 7?. A…

Q: ind the linear equation, slope and y intercept The data below shows how the electric field (E)…

A: To determine the equation of a straight line we need only two points on it. Let's choose the points…

Q: A thick insulating cylindircal shell of inner radius a-1.5R and outer radius b=5.1R has a uniform…

Q: A spherical conducting shell has a radius R and a uniform surface charge density o. The ratio of the…

Q: A long solid copper cylinder has a radius of R=3.0cmR=3.0cm and a uniform (linear) surface charge…

Q: The figure is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.60 m inside a…

Q: What is the magnitude of the electric field produced at the distance of 1.00 m by an infinite line…

Q: ppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius…

A: Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of…

Q: A solid nonconducting sphere of radius R carries a charge Q distributed uniformly throughout its…

Q: an infinite wire which is uniformly charged with charge density 1 = nC/m is perpendicular C/m?.…

Q: A non-conducting sphere of radius r = 20.6 cm contains a uniformly distributed charge of Q = 12.8…

Q: Given a 3.00 mm radius solid wire centered on the z-axis with an evenly distributed 2.00 coulombs of…

A: Solution:- Given, solid wire on z-axis charge=2c/m=ρl line…

Q: A charge of 22.2 pC is distributed uniformly on a spherical surface (r1 = 2.0 cm), and a second…

Q: A uniformly-charged wire of total charge Q, and total length L=4.8 m is placed as shown in the…

Q: A solid conducting sphere of radius 2.00 cm has a charge of 7.55 µC. A conducting spherical shell of…

A: The radius of the solid conducting sphere, R = 2.00 cm = 2.00×10-2 m The inner radius of the…

Q: A solid metal cylinder of radius r = 1.9 cm is located coaxially inside a hollow metal cylinder of…

A: a) Applying the gauss law; We have Now, taking a cylinder of length L as a Gaussian Surface, so we…

Q: A hollow sphere has an unknown charges distributed uniformly over its surface. At a distance of…

A: Given: E = 1.78×10² N/C, r = 0.3 m

Q: An infinitely long solid insulating cylinder of radius a = 4.6 cm is positioned with its symmetry…

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

A space charge of density p is uniformly distributed in an infinitely long cylinder of radius R. Then, for any
point at distance r from the axis (relative permittivity = 1),
P for 0<r<R
2 E,
(a) the electric field is E
(b) the electric field is E =
PR
for r> R
2 E, r?
pr
for 0<r<R
E,
pR?
(c) the electric field is E=
(d) the electric field is E =
for r> R
2 E, r

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

Answer

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 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

Calculate the angular velocity of an electron orbiting a proton in the hydrogen atom, given the radius of the orbit is 0.5301010 m. You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
A water molecule is made up of two hydrogen atoms and one oxygen atom, with a total of 10 electrons and 10 protons. The molecule is modeled as a dipole with an effective separation d = 3.9 1012 m between its positive and negative charges. What is the magnitude of the water molecules dipole moment?
Two uncharged, conducting spheres are separated by a distance d. When charge −Q is moved from sphere A to sphere B, the Coulomb force between them has magnitude F0. Is the Coulomb force attractive or repulsive? If an additional charge −Q is moved from A to B, and the distance between the centres of the spheres is doubled, what is the ratio of the new Coulomb force to the original Coulomb force?
In the figure two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that θ is so small that tan θ can be replaced by its approximate equal, sin θ. If L = 120 cm, m = 8.5 g, and x = 7.3 cm, what is the magnitude of q?
Two positively charged point charges with magnitudes q and 4q with separation of a distance r is given. Find the magnitude and position of the third charge such that it will make the system into equilibrium.
On a cylindrical surface of radius R(10cm) and length I (I>>R) s some charge is uniformly distributed with density (10^-4 C/m^2). The cylinder rotates with constant angular velocity, w ( 600 rad/s), about its axis. calculate B at all points inside the cylinder using ampere's law.
Consider three identical conducting spheres (L,M,R) with initial charges +5Q, -3Q, and zero. Switches A and B are then closed. Which of the following is the correct charge distribution at the electrostatic equilibrium? Explain answer. A. 5Q/2; 2Q/3; -Q B. 2Q/3; 2Q/3; 2/3QC. 5Q; -2Q/3, -3Q/2 D. 5Q, -3Q, Zero
A point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 . To what vertical elevation will q rise above the sheet of charge? Neglect gravity. a. 6.0 cm b. 8.0 cm c. 5.0 cm d. 4.0 cm e. 7.0 cm
A horizontal wire 3m long has a nonuniform charge per unit length, i.e. = + (0.6x) C/m where x is the distance measured from the left end of the wire. A point P is 1m to the right of the right end of the wire. Find the magnitude and direction of the force experienced by the electron placed at the point P.
The figure shows a section through two long thin cylinders of radius a and b. they carry equal and opposite charges per unit length λ. by means of Gauss's law prove thata) E = 0 when r <ab) between cylinders E is given by E = (1 / 2?ε0) * (λ / r)
Find the torque acting on a dipole of dipole moment 10^(-4) C/m placed inside a uniform electric field E = 2 N/C at an instant shown in the figure. a. 1.73 x 10^(-4) Nmb. 2 x 10^(-4) Nmc. 1.88 x 10^(-4) Nmd. 1.68 x 10^(-4) Nm
Two uncharged, conducting spheres are separated by a distance d. When charge -Q is moved from sphere A to sphere B, the Coulomb force between them has magnitude F0. (a) Is the Coulomb force attractive or repulsive? (b) If an additional charge -Q is moved from A to B, what is the ratio of the new Coulomb force to the original Coulomb force, Fnew /F0? (c) If sphere B is neutralized so it has no net charge, what is the ratio of the new to the original Coulomb force, Fnew /F0?