ii. E =iv.9.A long solid insulating cylinder with radius a carries a uniform charge distribution p.Concentric with this solid cylinder is a long insulating cylindrical shell with innerradius b and outer radius c, and carries a non-uniform charge distribution,p(r)where a > 0 and r is measured outward from the center of two cylinders.a. What are the units of a, assuming p and r are in SI units?b. Find the electric field (magnitude and direction) in the following regions:i. 0cP240dolspa² + 2+ (c-b)2 805α12==rP1, E = f fr24+ôE = Pa² + 2x (r-b)28ortr

Answered: Image /qna-images/answer/36284a4f-bd87-4dca-a619-633d5ba34cbb.jpg

9. A long solid insulating cylinder with radius a carries a uniform charge distribution p. Concentric with this solid cylinder is a long insulating cylindrical shell with inner radius b and outer radius c, and carries a non-uniform charge distribution, p(r) = α 1, r where a > 0 and r is measured outward from the center of two cylinders. a. What are the units of a, assuming p and r are in SI units? b. Find the electric field (magnitude and direction) in the following regions: i. 0c E = fr 2E. +â

9. A long solid insulating cylinder with radius a carries a uniform charge distribution p. Concentric with this solid cylinder is a long insulating cylindrical shell with inner radius b and outer radius c, and carries a non-uniform charge distribution, p(r) = α 1, r where a > 0 and r is measured outward from the center of two cylinders. a. What are the units of a, assuming p and r are in SI units? b. Find the electric field (magnitude and direction) in the following regions: i. 0c E = fr 2E. +â

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 43P

See similar textbooks

Similar questions

The Oscilloscope 3. A solid insulating cylinder of radius A is surrounded by a hollow, concentric conducting cylinder of inner radius B and outer radius C. The solid cylinder has a non-uniform charge density given by p(r)= =+ +ßr where a and ß are constants. α r The conducting shell is uncharged. a. What is the total charge on the solid cylinder? b. What is the charge on the inner surface of the conducting cylinder? c. What is the charge on the outer surface of the conducting cylinder? d. What is the electric field everywhere (r C)?
Constants and conversion qe = 1.60x10-¹⁹ C factors that may be useful: me=9.11x10-³¹ kg mp = 1.67x10-27 kg Surface area of a sphere = 4TR² Volume of a sphere = (4/3) лR³ Eo = 8.85x10-12 C²/N-m²
A net flux of 6.75×10^4N⋅m2/C passes inward through the surface of a sphere of radius 5.25 cm. a. What is the net charge, in coulombs, contained within the sphere? b. Which statement best describes the distribution of the charge inside the sphere? All of the charge is concentrated in a point charge. The flux indicates the net charge enclosed in the surface, but it yields no information about the distribution of the charge. The charge can be distributed in many different ways, but the distribution must be spherically symmetric. Both positive and negative charges are contained within the sphere, but most of the charges cancel yielding the net charge obtained in the previous step. The charge is uniformly distributed throughout the volume of the sphere. The charge is distributed over a thin spherical shell within the sphere.
1. Charge, Q= 2.20nC is uniformly distributed along the thin rod of length, L= 1.20m shown below. a. Determine the linear charge density of the rod. b. Determine an expression for charge dqon an infinitesimally small section of the rod of length dx in terms of the charge density and dx. c. The point P1is located a distance a= 0.300m from the end of the rod. Determine an expression for the distance, r, between the point P1and an arbitrary chunk of the rod located an arbitrary distance, x, from the origin (between 0 and L). d. Determine an expression for the electric field dE at P1 due to only the arbitrary chunk of the rod from part c. Use k, λ, x, L, and a. e. Determine the net electric field, E at a point P1 due to the entire rod.
A conducting sphere with radius a is surrounded by a concentric nonconducting spherical shell with inner radius b and outer radius c. The inner sphere has a negative charge -Q while the spherical shell has a positive charge Q uniformly distributed throughout its volume. The distance from the center is r. Which of the following statements is FALSE? 0 a b c A. E is proportional to 1/r2 for a c. D. E=0 for r
4. A conducting solid sphere of radius 6.0 cm is placed in a space with no external electric field. Some positive charge +2.1 × 10-6C is placed on the sphere. When the conductor is in electrostatic equilibrium, A. Please draw the electric field lines generated by the charged conducting sphere. B. Please find the magnitude of the electric field at the distance 2.4 cm away from the sphere's center. C. Please find the magnitude of the electric field at the distance 6.5 cm away from the sphere's center.
1.Charge, Q= 2.20nC is uniformly distributed along the thin rodof length, L= 1.20m shown above. a.Determine the linear charge density of the rod. b.Determine an expression for charge dqon an infinitesimally small section of the rod of length dxin terms of the charge density and dx. c.The point P1is located a distance a= 0.300m from the end of the rod. Determine an expression for the distance, rbetween the point P1and an arbitrary chunk of the rod located an arbitrary distance xfrom the origin (between 0 and L). d.Determine an expression for the electric field dEat P1due to only the arbitrary chunk of the rod from part c. Use k, λ, x, L, and a. e.Determine the net electric field, Eat a point P1due to the entire rod.
A conducting sphere of radius r1 = 0.27 m has a total charge of Q = 2.6 μC. A second uncharged conducting sphere of radius r2 = 0.34 m connects to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. a. What is the total charge on sphere two Q2 after they are connected, in coulombs? b. What is the surface charge density of the second sphere, σ2, after they are connected in coulombs per square meter?
1. Figure shows a non-conducting hollow sphere with inner radius a and outer radius b. It has non-uniform positive volume charge density p P. d that is a function of radial distance r from its center p = ar where a is a constant with the units of C/m*. a. Find the electrical flux through the spherical Gaussian surface with radius r for a b) element of a sphere Express your answers in term of a, b, d,r, a, e, and n.
An irregular neutral conductor has a hollow cavity inside of it and is insulated from its surroundings. An excess charge of 18.0 nCnC is sprayed onto this conductor. 1.Find the charge on the inner surface of the conductor.Express your answer in nanocoulombs. 2.Find the charge on the outer surface of the conductor.Express your answer in nanocoulombs. 3.Without touching the conductor, a charge of -15.0 nCnC is inserted into the cavity through a small hole in the conductor. Find the charge on the inner surface of the conductor in this case.Express your answer in nanocoulombs. 4.Find the charge on the outer surface of the conductor in this case.Express your answer in nanocoulombs.
P. Consider a solid conducting sphere of ra- dius R and total charge Q. Which diagram describes the E(r) vs r (electric field vs radial distance) function for the sphere? L. G. part 1 of 2 M. 0 R 0 R radius. الالالا R 0 R part 2 of 2 Which diagram describes the E(r) vs r (electric field vs radial distance) function if the sphere is non-conducting and it is uni- formly charged, throughout its volume? 1. S 2. L 3. G 4. P 5. M 1. M 2. P 3. S 4. G
A long, thin straight wire with linear charge density λ runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2λ. Assume λ is positive. a. Find expressions for the magnitude of the electric field strength inside the cylinder, r<R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π. b. Find expressions for the magnitude of the electric field strength outside the cylinder, r>R. Give your answer as a multiple of λ/ε0. Express your answer in terms of some or all of the variables R, r, and the constant π.