Which one(s) of the following statement(s) is(are) correct? (i) The electric field of a uniformly charged finitely long rod can be calcu- lated by using the Gauss's law. (ii) The electric field of a uniformly charged disk of infinite radius can be calculated by using the Gauss's law. (iii) The electric field of a non-uniformly charged finitely long rod can be calculated by using the Coulomb's law. Select one: Only (i) (i) and (iii) Only (ii) (i) and (ii) (ii) and (iii)

Which one(s) of the following statement(s) is(are) correct? (i) The electric field of a uniformly charged finitely long rod can be calcu- lated by using the Gauss's law. (ii) The electric field of a uniformly charged disk of infinite radius can be calculated by using the Gauss's law. (iii) The electric field of a non-uniformly charged finitely long rod can be calculated by using the Coulomb's law. Select one: Only (i) (i) and (iii) Only (ii) (i) and (ii) (ii) and (iii)

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 12OQ: In which of the following contexts can Gausss law not be readily applied to find the electric field?...

See similar textbooks

Similar questions

Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
A semicircle ofradius a is in the first and secondquadrants, with the center of curvatureat the origin. Positive charge+Q is distributed uniformly aroundthe left half of the semicircle, andnegative charge -Q is distributeduniformly around the right half ofthe semicircle (Fig. ). Whatare the magnitude and direction of the net electric field at the originproduced by this distribution of charge?
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
In which of the following contexts can Gausss law not be readily applied to find the electric field? (a) near a long, uniformly charged wire (b) above a large, uniformly charged plane (c) inside a uniformly charged ball (d) outside a uniformly charged sphere (e) Gausss law can be readily applied to find the electric field in all these contexts.
An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. (a) Find an expression for the electric flux passing through the surface of the gaussian sphere as a function of r for r a. (b) Find an expression for the electric flux for r a. (c) Plot the flux versus r.
Find the electric flux through a rectangular area 3 cm × 2 cm between two parallel plates where there is a constant electric field of 30 N/C for the following orientations of the area: (a) parallel to the plates, (b) perpendicular to the plates, and (c) the normal to the area making a 30° angle with the direction of the electric field. Note that this angle can also be given as 180° + 30°.
A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 4 ✕ 10−8 C at location <−0.6, 0, 0> m. At location <0, 0.08, 0> m, what is the electric field contributed by the polarization charges on the surface of the metal sphere? (Express your answer in vector form.)
Show electrostatically that the electric field vector can be written as the gradient of a scalar.
Solve the work done to move a 7-nC charge radially away from the center from a distance of 8 m to a distance of 14 m against the electric field inside a non-conducting spherical shell of inner radius 1 m, outer radius 17 m, and total charge 8 mC.
A net charge is placed onto a spherical conductor. Which of the following best describes the symmetry of the charge distribution, and therefore the resulting electric field?
The charge per unit length on the thin rod shownbelow is λ . What is the electric field at the point P? (Hint:Solve this problem by first considering the electric fieldd E→ at P due to a small segment dx of the rod, whichcontains charge dq = λdx . Then find the net field byintegrating d E→ over the length of the rod.)
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) r < a; (b) a < r < b; and (c) r > b.