A long, conductive cylinder of radius R₁ = 2.70 cm and uniform charge per unit length = 302 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R₂ = 9.45 cm and R3 = 10.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p = 107 pC/m³, find the magnitude of the electric field E(r) at each radial distance indicated.

A long, conductive cylinder of radius R₁ = 2.70 cm and uniform charge per unit length = 302 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R₂ = 9.45 cm and R3 = 10.8 cm, respectively. If the cylindrical shell carries a uniform charge density of p = 107 pC/m³, find the magnitude of the electric field E(r) at each radial distance indicated.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The figure is a section of a conducting rod of radius R1 = 1.50 mm and length L = 14.40 m inside a…

Q: Consider a thin, spherical shell of radius 13.0 cm with a total charge of 30.6 µC distributed…

Q: infinitely long, solid cylindrical insulator has radius R1 = 14 cm and volume charge density p. The…

Q: A uniformly charged disk with radius R = 40.0 cm and uniform charge density = 8.60 x 10-3 C/m² lies…

A: a) Calculate the electric field at z=5.00 cm. E=2πkσ(1−zz2+R2)E=2π(9×109 N⋅m2/C2)(8.6×10−3 C/m2)(1−5…

Q: In the figure a nonconducting rod of length L = 8.20 cm has charge -q = -4.24 fC uniformly…

Q: A uniformly charged disk with radius R = 25.0 cm and uniform charge density = 7.40 x 10-3 C/m2 lies…

Q: A long, nonconducting, solid cylinder of radius R=5.20 cm has a non-uniform volume charge density p…

Q: A long, nonconducting, solid cylinder of radius 3.0 cm has a nonuniform volume charge density p that…

A: Gauss's Law states that the total electric flux over a closed surface is equal to the total charge…

Q: The figure is a section of a conducting rod of radius R1 = 1.40 mm and length L = 12.20 m inside a…

A: Gauss law relates electric flux and charges enclosed by a conductor. Electric flux is the product of…

Q: A solid, insulating sphere of radius a = 2 cm has been charged uniformly by a density ρ = 300 µC/m3.…

A: The radius of the sphere,(a)=2 cm=2 x 10-2 m ------(1) [Given] Unifrom charge density,(ρ)=300…

Q: A solid conducting sphere of radius 2 cm has a charge of 8 µC. A conducting spherical shell of inner…

A: Given data, Radius of the solid sphere = 2 cm Charge on the solid sphere = 8μC Inner radius of the…

Q: What is the electric field (in MN/C) due to the charged disk

A: Given data: The radius of disk is: R = 40 cm = 0.4 m The uniform charge density is: σ = 8.20×10-3…

Q: A coaxial cylinder of length L = 5 m consists of two cylindrical shells of radii a = 15 cm and b =…

Q: A sphere of radius R = 0.255 m and uniform charge density 151 nC/m³ lies at the center of a…

Q: ducting, solid cylinder of radius 4.1 cm has a nonuniform volume charge density p that is a function…

A: please see image

Q: A uniformly charged disk with radius R = 40.0 cm and uniform charge density = 9.00 x 10-3 C/m² lies…

A: radius of disk (R) = 40 cm = 0.40 m uniform surface charge density (σ) = 0.009 Cm2

Q: A long, straight copper rod has charge per unit length ? = 0.410 µC/m and a diameter of 7.20 cm.…

A: Given data The magnitude of the charge per unit length is λ = 0.410 μC/m = 0.410 x 10-6 C/m The…

Q: onsider a ring of charge. The ring is in the x-y plane and has a radius of 4.1 m. The charge per…

Q: A solid sphere of radius 40.0 cm has a total positive charge of 16.0 µC uniformly distributed…

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

Q: A solid conducting sphere of radius 2.00 cm has a charge of 8.75 µC. A conducting spherical shell of…

A: Radius of the solid sphere, r1 = 2.00 cm. Inner radius of the spherical shell, r2 = 4.00 cm. Outer…

Q: A solid sphere of insulating material with radius R=7.62cm�=7.62cm has a uniform volume charge…

A: The objective of the question is to find the magnitude of the electric field at two different…

Q: A uniformly charged disk with radius R = 45.0 cm and uniform charge density o = 8.10 × 10¬3 C/m²…

Q: In the figure a nonconducting rod of length L = 8.17 cm has charge -q = -4.34 fC uniformly…

A: Length of rod L =8.17 cm = 8.17× 10-² mCharge on rod q= -4.34fc = - 4.34 × 10-¹⁵ C(a) The linear…

Q: A long, conductive cylinder of radius R = 2.95 cm and uniform charge per unit length i = 151 pC/m is…

A: (NOTE: Since you have posted a question with multiple sub-parts. As per our strict honor code, we…

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

Q: A total charge of 11.0 μC is uniformly distributed on the surface of a thin spherical shell of…

Q: In the figure a nonconducting rod of length L = 8.42 cm has charge -q = -4.23 fC uniformly…

A: (a) The linear charge density of the rod will be:

Q: A uniformly charged disk with radius R = 40.0 cm and uniform charge density = 8.90 x 10-3 C/m² lies…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

Q: The figure is a section of a conducting rod of radius R₁ = 1.60 mm and length L = 11.10 m inside a…

Q: A uniformly charged disk with radius R = 45.0 cm and uniform charge density o = 6.50 x 10 C/m2 lies…

A: Given values: Radius of the disc, R=45.0 cm Charge density ,σ=6.50×10-3 C/m2 Permittivity of…

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

Q: The figure is a section of a conducting rod of radius R₁ = 1.40 mm and length L = 11.40 m inside a…

Q: A long, conductive cylinder of radius R1=2.80 cm and uniform charge per unit length 1-453 pC/m is…

Q: uniformly charged disk with radius R = 25.0 cmand uniform charge density ? = 7.40 ✕ 10−3 C/m2 lies…

A: Ez = k(d)2π[ 1- (z / √ z2 +R2)] R= 25cm = 0.25m d = 7.4× 10-3 C/m2

Q: A thin-walled metal spherical shell of radius a = 17 m has a charge qa = 21 C. Concentric with it is…

Q: A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 30. A…

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

O Macmillan Learning
2.70 cm and
A long, conductive cylinder of radius R₁
uniform charge per unit length
302 pC/m is coaxial with
a long, cylindrical, nonconducting shell of inner and outer
radii R₂ 9.45 cm and R3 10.8 cm, respectively. If the
cylindrical shell carries a uniform charge density of
P
= 107 pC/m³, find the magnitude of the electric field E(r)
at each radial distance indicated.
=
E (0.837 cm) =
E (10.4 cm)
=
Enter numeric value
=
N/C
N/C
E (4.59 cm) = =
E (19.7 cm)
=
R₁
R₂ R3
2
O
N/C
N/C

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: Determine the given data:

VIEW

Step 2: Find the electric field at r=0.837 cm:

VIEW

Step 3: Find the electric field at r=4.59 cm:

VIEW

Step 4: Find the electric field at r=10.4 cm:

VIEW

Step 5: Find the electric field at r=19.7 cm:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 9 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 figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.90 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.0R₁ and the (same) length L. The net charge on the rod is Q₁ +3.68 x 10-12 C; that on the shell is Q₂ = -2.30Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.30R₂? What are (c) E and (d) the direction at r = 5.20R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number Units
An electric field of magnitude E = 400 N/C points in the +x-direction for x > 0 and in the –x-direction for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x-axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the flux through each end of the cylinder? Group of answer choices 0.25 kN·m2/C 0.13 MN·m2/C zero 1.3 kN·m2/C 13 N·m2/C
A non-conducting solid sphere with a radius of 50.0 cm located at the origin has a charge of +3.00 µC spread uniformly throughout its volume. Concentric with the sphere is a conducting spherical shell that has an inner diameter of 2.00 m and an outer diameter of 2.50 m with a net charge of -2.50 µC. Calculate the magnitude and direction (either away or toward the origin) of the electric field at (a) r = 1.20 m, and (b) r = 3.00 m, where r is the distance from the origin. (c) What is the net charge on the inner and outer surfaces of the shell? (d) Include a diagram of the situation indicating both the sphere and the shell along with the Gaussian surfaces.
A nonconducting solid sphere of radius 10.7 cm has a uniform volume charge density. The magnitude of the electric field at 21.4 cm from the sphere's center is 2.18 103 N/C. (a) What is the sphere's volume charge density? (b) Find the magnitude of the electric field at a distance of 5.00 cm from the sphere's center.
A solid conducting sphere of radius 2.00 cm has a charge 17.00 µC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge of -6.00 µC. (Take radially outward as the positive direction.) (a) Find the electric field at r = 1.00 cm from the center of this charge configuration. MN/C (b) Find the electric field at r = 3.00 cm from the center of this charge configuration. MN/C (c) Find the electric field at r = 4.50 cm from the center of this charge configuration. MN/C (d) Find the electric field atr = 7.00 cm from the center of this charge configuration. MN/C
A uniformly charged disk with radius R = 40.0 cm and uniform charge density = 8.90 x 10-3 C/m² lies in the xy-plane, with its center at the origin. What is the electric field (In MN/C) due to the charged disk at the following locations? (a) z = 5.00 cm (b) z 10.0 cm (c) z = 50.0 cm™ (d) z 200 cm MN/C MN/C MN/C MN/C
A uniformly charged disk with radius R = 45.0 cm and uniform charge density & = 6.70 x 10-³ C/m² lies in the xy-plane, with its center at the origin. What is the electric field (in MN/C) due to the charged disk at the following locations? (a) z 5.00 cm (b) z = 10.0 cm (c) z = 50.0 cm (d) z = 200 cm MN/C MN/C MN/C MN/C
A solid conducting sphere of radius 2.00 cm has a charge of 7.66 ?C. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a charge of −2.84 ?C. Find the electric field at the following radii from the center of this charge configuration. find magnitude N/C and direction for all please. (a) r = 1.00 cm (b) r = 3.00 cm (c) r = 4.50 cm (d) r = 7.00 cm