A unifomly charged and infinitely long line having a linear charge density '2' is placed at a normal distance y from a point O. Consider a imaginary sphere of radius R with O as centre and R >y. Electric flux through the surface of the sphere is 22R (a) zero 22/R² – y² /R? +y² (d)

A unifomly charged and infinitely long line having a linear charge density '2' is placed at a normal distance y from a point O. Consider a imaginary sphere of radius R with O as centre and R >y. Electric flux through the surface of the sphere is 22R (a) zero 22/R² – y² /R? +y² (d)

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 38P: A particle with charge Q is located a small distance immediately above the center of the flat face...

See similar textbooks

Related questions

Q: QUESTION 6 A rectangular box (3.00 m x 8.00 m x 5.00 m) is immersed in an electric field given by E…

A: Given electric field is, E→=3x2i^-2yj^ N/C

Q: A solid nonconducting sphere of radius R has a charge Q uniformly distributed through- out its…

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

A: Given : Radius of first sphere = R Radius of second sphere = 2R Charge =Q

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: A concentric hollow insulating spherical shell with inner radius r1=1.54R and outer radius r2=4.45R…

A: Given: In an insulating hollow(concentric) sphere, Inner radii, r1=1.54 R Outer radii, r2=4.45 R At…

Q: An electric field Ẽ = Bzk exists in space. Total electric flux through a sphere of radius R centered…

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

A: Let us assume a cube with an edge length L that is immersed in a uniform electric field E along its…

Q: A nonuniform electric field is given by the expression D = 2у a + z a — Зха y C/m?. Determine the…

A: We have Electric field given by D=2yi^+zj^-3xk^. We need to find Electric flux through a rectangular…

Q: A concentric hollow insulating spherical shell with inner radius ri=1.37R and outer radius r2=4.31R…

A: Given data: Inner radius, r1=1.37R Outer radius, r2=4.31R Charge at the center, Q1=-17.64Q Volume…

Q: A concentric hollow insulating spherical shell with inner radius r1=1.9R and outer radius r2=3.32R…

A: Recall Gauss's law EA=Qenc/∈0

Q: The figure shows a Gaussian cube of face area A immersed in a uniform electric field of magnitude E…

Q: Two thin spherical shells, one of radius R and the other with radius 2R, surround on an isolated…

A: Gauss law: The total of electric flux out of a closed surface is equal to the charge enclosed…

Q: d P

Q: An infinite sheet of charge at z = 0 with surface charge density equal to pe = .2 C/m2, what is the…

A: Given, Infinite sheet of charge placed at z=0. Surface charge density ρs=0.2C/m2. We need to find…

Q: The figure shows a Gaussian surface in the shape of a cube with edge length 1.60 m. What are (a) the…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: A nonuniform electric field is given by the expression E→ = ay î +…

A: Given data The expression for the electric field is given as: E = ay i + bz j + cx k The…

Q: A solid ball of radius R has a uniform volume charge density and produces a certain electric field…

Q: An infinitely long, very thin half-cylindrical shell of radius R is uniformly charged such that its…

Q: = 0.295 m and uniform charge density A sphere of radius R1 10.5 µC/m lies at the center of a…

Q: The figure shows four particles, two of which are positively charged and two of which are negatively…

Q: 1. Find the electric flux through the surface with sides of 15 cm X 15 cm shown in the figure below.…

A: The answers are below

Q: Two thin spherical shells, one of radius R and the other with radius 2R, surround on an isolated…

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

Q: A concentric hollow insulating spherical shell with inner radius rj=1R and outer radius r2=4.85R has…

Q: A positive point charge +q = 2.00 µC is located at the center of a hollow spherical conducting shell…

Q: The figure shows a closed Gaussian surface in the shape of a cube of edge length 1.5 m, with one…

A: The x varies from 3.7 to 5.2, y varies from 2.8 to 4.3, and z varies from 0 to 1.5.

Q: A hemispherical surface of radius R is in a constant electric field E directed perpendicular to the…

A: Answer Given Hemispherical surface has radius R and E is the constant electric field. The total…

Q: A uniform surface charge of density 8.0 nC/m2 is distributed over the entire xy plane. What is 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 point charge q1 = 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q2 =…

Q: A square 10 cm long is in a region where there exists a uniform 2.0 kN/C electric field normal to…

A: Given data: Side of square (s) = 10 cm = 0.1 m Electric field (E) = 2.0 kN/C = 2000 N/C Angle…

Q: A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it,…

A: radius of cylinder = Rvolume charge density = ρobservation point = r

Q: A solid sphere of radius R carries a uniform volume charge density p . The magnitude of electric…

Q: A concentric hollow insulating spherical shell with inner radius 1=1.74R and outer radius r2=3.69R…

Q: Consider the uniform electric field E → = (4.0 j ^ + 3.0k ^ ) × 103 N/C. What is its electric flux…

A: Given data The uniform electric field is: E = (4 j + 3 k) x 103 N/C The radius of the circular area…

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

A: flux through surace 1, Φ1=0flux through surace 2, Φ2=E→.S→=EL2cos0=EL2flux through surace 3,…

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

Q: The figure shows a closed Gaussian surface in the shape of a cube of edge length 1.5 m, with one…

A: Given information:Length of the gaussian cube (l) = 1.5 mThe co-ordinates of one edge of the…

Q: D3.6. nee space, let D = 8xyz'a, + 4x*z*a, + 16x yz'a, pC/m?, (a) Find the total electric flux…

A: (a) The electric flux be defined as, ϕ=∮D.ds

Q: A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom…

A: We know electric field lines are outward from a positive charge and inward for a negative charge. If…

Q: A hollow long conducting thin cylindrical shell of radius a= 1.12 cm carries a surface charge…

A: Given that, Radius a= 1.12 cm Surface charge density = 35.4 nC/m2 Distance = 12 cm

Q: A uniform charge density of 500 nC/m3 is distributed throughout a spherical volume of radius 6.00…

Q: The figure shows a closed Gaussian surface in the shape of a cube of edge length 2.70 m, with one…

Q: A sphere of radius R and a uniform total charge Q is centered at origin, total electric flux through…

Q: В +q R b- Sections AB and CD of a thin non-conduC ring of radius R are uniformly (with const linear…

A: Since the charge density is uniform for the arcs AB and CD, we can say that half of the charge on AB…

Q: The figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6…

A: Given that, Charge density (ρ)= 2× 10-⁶ C/m³ Inner radius (a)= 10 cm = 0.10 m Outer radius (b)= 20…

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

A: Given:- A cube is shown in the figure a cube with edge length L immersed in a uniform electric…

Q: A point charge q1 4.00 nC is located on the x-axis at x = 2.00 m, and a second point charge q2 =…

A: Point charge 1: q1 = 4.00 nC = 4.00 x 10-9 C Point charge 2: q2 = -6.00 nC = -6.00 x 10-9 C Position…

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 uniformly charged and infinitely long line having a linear charge density ´2, ' is placed at a normal distance
y from a point O. Consider a imaginary sphere of radius R with O as centre and R >y. Electric flux through
the surface of the sphere is
2A.R
(b)
(а) zero
°3
21R² – y²
aR? + y²
(d)

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 2 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

The net electric flux crossing a closed surface is always zero. True or false?
In free space, let D = 8xyz4ax + 4x2z4ay + 16x2yz3 az pC/m2.Find the total electric flux passing through the rectangularsurface z = 2, 0 < x < 2, 1 < y < 3, in the az direction. Find Eat P(2, −1, 3).
Solve the following:a. Find the flux through a spherical Gaussian surface of radius a= 1 m surrounding a charge of 8.85 pC.b. Find the value of the electric field at a distance r= 10 cm fromthe center of a non-conducting sphere of radius R= 1 cm whichhas an extra positive charge equal to 7 C uniformly distributedwithin the volume of the sphere.
A quarter-disc in the first quadrant has a surface charge density given by K cos φ C/m2. If the radius of the discis b, calculate the electric field at a point P(0, 0, −h
For problem 7, calculate the total flux through the one side of the cube in kNm2/C for a particle with a charge 3.39 uC at the center of the cube.(5 sig. figs.)
A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.
A particle with charge Q is located on the axis of a circle of radius R at a distance b from the plane of the circle (as shown). Show that if one-fourth of the electric flux from the charge passes through the circle, then R = √(3b).
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
Consider a closed surface S fully enclosing the point charge Q. Which of the following is true about the net electric flux through S?
A thin, circular plate of radius B, uniform surface charge density, and total charge Q, is centered on the origin and lies in the x-y plane. What is the electric flux ΦE through a sphere of radius r, also centered on the origin, as a function of r? Consider both (a.) r > B and (b.) r < B:
An infinite plane slab, of thickness 2d, carries a uniform volume charge density (rho). Find the electric field, as a function of y, where y = 0 at the center. Plot E versus y, calling E positive when it points in the +y direction and negative when it points in the −y direction.
A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges +Q and Q , respectively. Assuming that the length L of both conductors is much greater than a or b, determine the electric field as a function of r, the distance from the common central axis of the cylinders, for (a) ra; (b) arb; and (c) rb.