University Physics A thick cylendricel indinty long line The probleu s touse aus's Law to get the expressibn r the electric field inside the line and charge deun'ty ( poiu is at v fran the ceu ter axis. The lines radius (R) unknown het uuiform The :e A ave Eud view Sidde view At the poit E E E E,C Pro blem Use the symmetry of the pbe.Two componeuts of must be Zero Which they and hy are Pre hlen Which of these Gaussian Sarfaces is useful fr determi Draw the line of charge and the shaye le tter s what E has to be? Specily the leng th aud/or radus using Cube Cylirda Sphoe Problem 3 Celcu late +he elec tric flux out of yeur sarfoce wnite the express iou, Pro blen 4 Write the expression fir the charge hside Po blem 5 Write the Gauss's-Law egueton and solve it for Elr) inside the line of charg e

University Physics A thick cylendricel indinty long line The probleu s touse aus's Law to get the expressibn r the electric field inside the line and charge deun'ty ( poiu is at v fran the ceu ter axis. The lines radius (R) unknown het uuiform The :e A ave Eud view Sidde view At the poit E E E E,C Pro blem Use the symmetry of the pbe.Two componeuts of must be Zero Which they and hy are Pre hlen Which of these Gaussian Sarfaces is useful fr determi Draw the line of charge and the shaye le tter s what E has to be? Specily the leng th aud/or radus using Cube Cylirda Sphoe Problem 3 Celcu late +he elec tric flux out of yeur sarfoce wnite the express iou, Pro blen 4 Write the expression fir the charge hside Po blem 5 Write the Gauss's-Law egueton and solve it for Elr) inside the line of charg e

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 86AP: Two non-conducting spheres of radii R1 and R2 are uniformly charged with charge densities p1 and p2...

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Similar questions

Discuss the role that symmetry plays in the application of Gauss's law. Give examples of continuous charge distributions in which Gauss's law is useful and not useful in determining the electric field.
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).
Suppose that the charge density of the spherical chargedistribution shown in Figure 6.23 is p(r)=p0r/R for rR and zero for rR . Obtain expressions for theelectric field both inside and outside the distribution.
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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).
Charge is distributed throughout a very long cylindrical volume of radius R such that the charge density increases with the distance r from the central axis of the cylinder according to p=ar , where a is a constant. Show that the field of this charge distribution is directed radially with respect to the cylinder and that E=ar230 (rR); E=aR330r (rR).
The conductor in the preceding figure has an excess charge of 5.0C . If a 2.0C point charge is placed in the cavity, what is the net charge on the surface of the cavity and on the outer surface of the conductor?
A total charge Q is distributed uniformly throughout a spherical volume that is centered at o1 and has a radius R. Without disturbing the charge remaining charge is removed from the spherical volume that is centered at o2 (see below). Show that the electric field everywhere in the empty region is given by E=Qr40R3 where r is the displacement vector directed from o1 to o2 .
Shown below ale two concentric conducting spherical shells of radii R1 and R2 , each of finite thickness much less than either radius. The inner and outer shell carry net charges q1 and q2 , respectively, where both q1 and q2 are positive. What is the electric field for (a) rR1 ; (b) R1rR2 , and (c) rR2 ? (d) What is the net charge on the inner surface of the inner shell, the outer surface of the inner shell, the inner surface of the outer shell, and the outer surface of the outer shell?
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.
The electric field in a particular thundercloud is 2.0105N/C . What is the acceleration of an electron in this field?