Positive electric charge Q is distributed throughout the volume of an insulating sphere of radius R as shown in the fugure. (a) Find the volume charge density p which is the charge Q divided by the volume of the entire charge sphere of radius R. (b) Find the electric field E inside the sphere wherer < R by using Gauss'Law. (c) Find the electric field E outside the sphere where r >R by using Gauss'Law. (d) What is the electric field at the surface of the sphere. (e) Draw the graph of Electric Fileld E with respect to r from zero upto infinity. -Spherical insulator Gaussian surface

Positive electric charge Q is distributed throughout the volume of an insulating sphere of radius R as shown in the fugure. (a) Find the volume charge density p which is the charge Q divided by the volume of the entire charge sphere of radius R. (b) Find the electric field E inside the sphere wherer < R by using Gauss'Law. (c) Find the electric field E outside the sphere where r >R by using Gauss'Law. (d) What is the electric field at the surface of the sphere. (e) Draw the graph of Electric Fileld E with respect to r from zero upto infinity. -Spherical insulator Gaussian surface

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 65P: A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit...

See similar textbooks

Similar questions

Charge is distributed uniformly with a density p throughout an infinitely long cylindrical volume of radius R. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E=pr20 (rR); E=pR220r (rR).
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.
Two large copper plates facing each other have charge densities 4.0C/m2 on the surface facing the other plate, and zero in between the plates. Find the electric flux through a 3cm4cm rectangular area between the plates, as shown below, for the following orientations of the area. (a) If the area is parallel to the plates, and (b) if the area is tilted =30 from the parallel direction. Note, this angle can also be =180+30.
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.
Point charges q1=50C and q2=25C are placed 1.0 m apart. (a) What is the electric field at a point midway between them? (b) What is the force on a charge q3=20C situated there?
The charge per unit length on the thin rod shown below is . What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq=dx . Then find the net field by integrating dE over the length of the rod.)
A total charge Q is distributed uniformly throughout a spherical shell of inner and outer radii r1 and r2 , respectively. Show that the electric field due to the charge is E =Q40r2(r3r13r23r13)r (rr1); (r1rr2); E =Q40r2r (rr1).
A proton is suspended in the air by an electric field at the surface of Earth. What is the strength of this electric field?
Charge is distributed along the entire x-axis withuniform density x and along the entire y-axis withuniform density y . Calculate the resulting electric field at(a) r=ai+bj and r=ck .
Check Your Understanding A thin straight wire has a uniform linear charge density 0 . Find the electric field at a distance d from the wire, where d is much less than the length of the wire.
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?
A total charge q is distributed uniformly along a thin, straight rod of length L (see below). What is the electric field at P1?AtP2?