A uniform charge density of 500 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere.What is the electric flux through this cubical surface if its edge length is (a) 4.00 cm and (b) 14.0 cm?

A uniform charge density of 500 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere.What is the electric flux through this cubical surface if its edge length is (a) 4.00 cm and (b) 14.0 cm?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

See similar textbooks

Related questions

Q: A solid insulating sphere of radius a = 5.1 cm is fixed at the origin of a co-ordinate system as…

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 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 hollow long conducting thin cylindrical shell of radius a= 1.06 cm carries a surface charge…

A: Given Radius of cylindrical shell, a= 1.06 cm =1.06×10-2m Surface charge density, σ = 35.4 nC/m2 =…

Q: What is the electric flux density (in µC/m2) at a point (10, 4, - 5) caused by a uniform surface…

Q: An electric field given by = 5.5i - 2.3(y2 + 5.8)j pierces the Gaussian cube of edge length 0.210 m…

A: Electric flux is defined as a effective number of electric field lines passing through a given cross…

Q: Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric…

Q: A constant electric field E = 100 i i is present throughout a region of space that includes the…

A: Electric flux is given by, ϕ= EA cosθE= magnitude of electric fieldA= area of the surfaceθ=angle…

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

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

Q: insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed…

A: Magnetic flux is the number of electric lines entering normally through surface

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: 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…

A: The electric flux through closed sphere depends on the charge enclosed by the sphere. Thus, the…

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

Q: An electric field given by É =4.5 i - 4.6(y² + 1.3)j pierces the Gaussian cube of edge length 0.130…

Q: Two thin concentric conducting spherical shells are shown below. The smaller shell has a radius of…

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

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

Q: A disk of radius 2.5 cm has a surface charge density of 5.3 mC/m2 on its upper face.What is the…

A: The radius of a disk,

Q: A rectangular surface extends from x = 0 to x = 36.0 cm and from y = 0 to y = 30.0 cm in the xy…

A: Given- X = 36 Cm Y = 30 Cm Nonuniform electric field given by E = (4.00z + 3.00y − 2.00x) N/C.

Q: A uniform surface charge of density 8.0 nC/m2 is distributed over the entire xy plane. What is the…

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

Q: Charge of uniform volume density ρ = 2.10 µC/m3 fills a nonconducting solid sphere of radius 6.20…

Q: Consider a thin-shelled hollow tube of length L, radius R with a uniform surface charge density σ…

Q: A square that has 26 cm long edges is centered on the x axis in a region where there exists a…

A: (a) Electric flux through the surface is ϕE=EAcosθ=2.00×103 NC0.26 m2cos0° (electric field and…

Q: A thin straight infinitely long conducting wire having charge density X is enclosed by a cylindrical…

A: Given: Charge density =X Radius =r Length =l

Q: Consider a thin, Spherical shell of radius 12.0 cm with a surface charge density of 0.150 mC/m^2…

Q: Consider an imaginary cylinder with a radius of r = 0.165 mm and a length of l = 0.465 m that has an…

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

A: The electric field of a uniformly charge.

Q: A charge of uniform volume density (40 nC/m³) fills a cube with 8 cm edges. What is the total…

A: Given that Uniform volume densityσ=40nC/m3 Edge of cube a=8cm

Q: A long cylindrical charge distribution of radius R= 6 cm, with a uniform charge density distribution…

A: The correct option is (a) 5.08

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

Q: A solid insulating sphere of radius a = 5.1 cm is fixed at the origin of a co-ordinate system as…

A: EXP=Qinc4πε0x2=43πa3ρ4πε0x2=9×109×4π×5.1×10-23-224×10-63×15.3×10-22=−47852.7393 N/C

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: A cone with base radius R and height h is located on a horizontal table. A horizontal uniform field…

Q: An insulating sphere of radius R = 2 mm has a net charge Q = 33 pC- A concentric Gaussian sphere S…

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: Consider a region of the shape of a rectangular box in the three dimensional coordinate system shown…

Q: what is the magnitude.of the electric flux of a constant E of 4 n/c in the z direction through a…

Q: A charge distribution that is spherically symmetric but not uniform radially produces an electric…

Q: The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged,…

Q: A square that has 10 cm long edges is centered on the x axis in a region where there exists a…

Q: A spherical shell has a uniform volume charge density p = 2.0nC/m³, inner radius a = 9.0 cm, and…

A: Given: Volume charge density is, Inner radius a = 9.0 cm = 0.09 m. Outer radius is b = 2.4a.

Q: An infinitely long nonconducting cylinder of radius R carries a uniform volume charge density of…

Q: Calculate the electric field in N/C at point P, a distance (4.35x10^1) cm along the central axis of…

Q: The electric field in the region of space shown is given by: E = (5i + 2j+6k) N/C, What is the…

A: Given : The electric field is E=5i+2j+6k NC. The edge length is L=6 m. The expression for electric…

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 uniform charge density of 500 nC/m3 is distributed throughout
a spherical volume of radius 6.00 cm. Consider a cubical
Gaussian surface with its center at the center of the sphere.What is
the electric flux through this cubical surface if its edge length is
(a) 4.00 cm and (b) 14.0 cm?

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

a) Equation for Gauss’s law.

VIEW

b) Electric flux when edge length is 14.0 cm.

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 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

An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. (a) Find an expression for the electric flux passing through the surface of the gaussian sphere as a function of r for r a. (b) Find an expression for the electric flux for r a. (c) Plot the flux versus r.
The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?
If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributedthroughout its volume, what is its a) volume charge density? What is the magnitude of the electricfield at b) 10 cm and c) 65 cm from the center of the sphere.
An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the -field at surface of the sphere? (Example: If your answer is 3.4x106N/C, enter 3.4 in the answer box).
An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the E-field at surface of the sphere?
A uniform charge density of 660 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere. (a) What is the electric flux through this cubical surface if its edge length is 2.30 cm?___________N · m2/C(b) What is the electric flux through this cubical surface if its edge length is 17.0 cm? ___________N · m2/C
The electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged, spherical conducting shell at its center, is ΦE =−2.30 × 104 N·m2/C. T c. How many excess electrons or protons does this sphere contain? d. f the conductor has a radius of R = 10.0 cm, what is its surface charge density? e. What is the electric field strength at the surface of the conductor?
A solid ball of radius R has a uniform volume charge density and produces a certain electric field magnitude E1 at point P, a distance 3.08R from the ball's center. If a core of radius 0.385R is removed from the ball, what fraction of E1 will the field magnitude at P be?
A uniform surface charge of density 8.0 nC/m2 is distributed over the entire xy plane. What is the electric flux through a spherical Gaussian surface centered on the origin and having a radius of 5.0 cm?
A uniformly charged, straight filament 8.00 m in length has a total positive charge of 2.00 µC. An uncharged cardboard cylinder 4.70 cm in length and 10.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. (a) Using reasonable approximations, find the electric field at the surface of the cylinder. magnitude: ____________ kN/C direction: radially outward or radially inward? (b) Using reasonable approximations, find the total electric flux through the cylinder.
Consider the uniform electric field →E=(4300 j+ 2800 k) NC. What is its electric flux through a circular area of radius 2.4 m that lies in the xy-plane?
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.