A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings. a Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions -30 ar b.

A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated from its surroundings. a Derive expressions for the electric-field magnitude E in terms of the distance r from the center for the regions -30 ar b.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 70P: A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius...

See similar textbooks

Similar questions

A very long, thin wile has a uniform linear charge density of 50C/m . What is the electric field at a distance 2.0 cm from the wire?
The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.
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.
Solve problem no. 4
Q1
Some planetary scientists have suggested that the planet Marshas an electric field somewhat similar to that of the earth, producinga net electric flux of -3.63 * 10^16 N . m2/C at the planet’s surface.Calculate: (a) the total electric charge on the planet; (b) the electric fieldat the planet’s surface (refer to the astronomical data in Appendix F orthe inside back cover); (c) the charge density on Mars, assuming all thecharge is uniformly distributed over the planet’s surface.
A thick insulating cylindircal shell of inner radius a-1.5R and outer radius b=5.1R has a uniform charge density p. What is the magnitude of the electric field at r=9.4 R ? Express your answer using one decimal place in units of PR :?
6m diameter conducting sphere contains 50 million electrons. What is the total electric flux leaving the surface of the sphere? What is the charge density of the sphere?
Plz
Please answer this question asap I will rate you for sure.
Suppose the planet Mars has an electric field similar to Earth's, producing a net electric flux of -363 x 1016 Nm2/C at the planet's surface. (a) Calculate the total electric charge on Mars. (b) Calculate the electric field at the surface of Mars (see chart). (c) Calculate the the charge density on Mars, assuming all the the charge is uniformly distributed over the surface.
A conducting shell with an outer radius of 2.5 cm and an inner radius of 1.5 cm has an excess charge of 1.5 × 10-7 C. What is the surface charge density on the inner wall of the shell? Needs Complete typed solution with 100 % accuracy.