A long non-conducting cylindrical shell with inner radius a = 5.0 cm and outer radius b = 10.0 cm has uniformly distributed positive charge within its volume. If at a distance r = 8.0 cm the electric field is Ē = (10 N/C)f, find the volume charge density p.

A long non-conducting cylindrical shell with inner radius a = 5.0 cm and outer radius b = 10.0 cm has uniformly distributed positive charge within its volume. If at a distance r = 8.0 cm the electric field is Ē = (10 N/C)f, find the volume charge density p.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 71P: A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner...

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: A solid insulating sphere of radius a = 10 cm carries a net positive charge 3Q uniformly distributed…

Q: Consider a long cylindrical charge distribution of radius R with a uniform charge density p. Find…

A: Consider a long, cylindrical charge distribution of radius R with a uniform charge density ρ.

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: A solid insulating sphere of radius a = 10 cm carries a net positive charge 30 uniformly distributed…

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

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 solid nonconducting sphere of radius R 6.67cm has a non-uniform charge distribution of volume…

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

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

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

A: The solution is given below

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: = 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: 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux…

A: Given data: The radius of the sphere R=6.0 cm The radius of the Gaussian sphere r=3.0 cm Electric…

Q: A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density p that…

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

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

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

Q: surface charge density o=24.25 nC/m². The sheet passes by the center of the sphere. Find the net…

A: The gauss law states that the net flux through a closed surface enclosing some volume is equal to…

Q: A long, nonconducting, solid cylinder of radius 5.3 cm has a nonuniform volume charge density p that…

A: Given data: A=3.5μC/m5=3.5×10-6C/m5 Area of the cylindrical surface is 2πrl Volume within the…

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

Q: A sphere of radius R| = 0.280 m and uniform charge density -16.5 µC/m³ lies at the center of a…

Q: Given a conducting sphere with radius R. If the sphere carries a net charge +Q, find the electric…

Q: A very long solid cylinder of radius 10.0 cm has positive charge uniformly distributed throughout it…

A: An electric field is a fundamental natural phenomenon produced by charged atomic and subatomic…

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

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

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

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: 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: Problem A nonconducting spherical shell of inner radius a=7.00cm and outer radius b=17.0cm is…

A: Given for non-conducting shell, Inner radius, r a = 7 cm = 7 x 10-2 m Outer…

Q: Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis…

A: The electric field due to point charge is, E=q4πε0R2…

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

Q: A concentric hollow insulating spherical shell with inner radius r1=1.87R and outer radius r2=3.57R…

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: (a) Using reasonable approximations, find the electric field at the surface of the cylinder.…

A: Given Data: The length of a straight filament is, l=8.00 m The total positive charge is, q=2.00 µC…

Q: An infinitely long conducting cylinder of radius 2 cm has a linear charge density +3 μC/m is…

A: Using Gauss law,…

Q: The electric field E is maximum at r equals:

A: Answer is 2R/3 .

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: A long, nonconducting, solid cylinder of radius 4.0 cm has a nonuniform volume charge density p that…

A: Radius of cylinder is equal to 4 cm Rro = Ar2 A= 2.5uC/m5

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…

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

100%

A long non-conducting cylindrical shell with inner radius a = 5.0 cm and outer
%3D
radius b = 10.0 cm has uniformly distributed positive charge within its volume. If
at a distance r = 8.0 cm the electric field is Ē = (10 N/C)f, find the volume charge
density p.
y
a

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

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

What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet carrying a charge density of 98.0 nC/m2?
A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.
A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.
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.
A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius 3.5 cm and outer radius 4.0 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 8.0 N/C. (a) What is the charge density on the inner surface of the shell? (b) What is the charge density on the outer surface of the shell? (c) What is the net charge on the conductor?
Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.
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.
A plastic rod with a uniform charge - Q is bent in a 120° circular arc ofradius r and is symmetrically placed across an X axis with the origin atthe center of curvature P of the rod If the linear charge density of the rod is 2, write an expression forthe magnitude of the electric field strength dE at P due todq charge element of the rod.
A solid insulating sphere of radius 0.07 m carries a total charge of 25 uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m, and carrying total charge of -54 uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the follwing distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.
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 solid insulating sphere of radius 0.07 m carries a total charge of 25uC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12m and outer radius of 0.18m, and carrying a total charge of -54uC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distance from the center tf the two spheres and shells: (b) 0.05m, (c) 0.10m (d) 0.15m and (e) .25m
A conducting sphere of radius 0.01 m has a charge of 1 nC deposited in it. The magnitude of the electric field in N/C just inside the surface of the sphere is: