University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 6, Problem 11CQ
Is the term in Gauss's law the electric field produced by just the charge inside the Gaussian surface?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Careful measurement of the electric
field at the surface of a black box
indicates that the net outward flux
through the surface of the box is 8.0
x 103 N m²/C.
(a) What is the net charge inside the
box?
A straight line with charge density pl forms a semicircle of
radius r in the first half of the charge xy plane. Determine the
amplitude and direction of the electric field intensity at the
center of the semicircle.
A very thin, finite, uniformly charged line of length 18 m carries a charge of 300 µC/m. Calculate the electricfield intensity in a plane bisecting the line at ρ = 9 m.
Chapter 6 Solutions
University Physics Volume 2
Ch. 6 - Check Your Understanding What angle should there...Ch. 6 - Check Your Understanding If the electric field in...Ch. 6 - Check Your Understanding Calculate the electric...Ch. 6 - Check Your Understanding Check that the electric...Ch. 6 - Check Your Understanding A thin straight wire has...Ch. 6 - Check Your Understanding How will the System above...Ch. 6 - Discuss how to orient a planar surface of area A...Ch. 6 - What are the maximum and minimum values of the...Ch. 6 - The net electric flux crossing a closed surface is...Ch. 6 - The net electric flux crossing an open surface is...
Ch. 6 - Two concentric spherical surfaces enclose a point...Ch. 6 - Compare the electric flux through the surface of a...Ch. 6 - (a) If the electric flux through a closed surface...Ch. 6 - Discuss how Gauss's law would be affected if the...Ch. 6 - Discuss the similarities and differences between...Ch. 6 - Discuss whether Gauss's law can be applied to...Ch. 6 - Is the term in Gauss's law the electric field...Ch. 6 - Reformulate Gauss's law by choosing the unit...Ch. 6 - Would Gauss's law be helpful for determining the...Ch. 6 - Discuss the role that symmetry plays in the...Ch. 6 - Discuss the restrictions on the Gaussian surface...Ch. 6 - Is the electric field inside a metal always zero?Ch. 6 - Under electrostatic conditions, the excess charge...Ch. 6 - A charge q is placed in the cavity of a conductor...Ch. 6 - The conductor in the preceding figure has an...Ch. 6 - A uniform electric field of magnitude 1.1104 N/C...Ch. 6 - Calculate the flux through the sheet of the...Ch. 6 - Find the electric flux through a rectangular area...Ch. 6 - The electric flux through a square-shaped area of...Ch. 6 - Two large rectangular aluminum plates of area 150...Ch. 6 - A square surface of area 2 cm2 is in a space of...Ch. 6 - A vector field is pointed along the z-axis,...Ch. 6 - Consider the uniform electric field...Ch. 6 - Repeat the previous problem, given that the...Ch. 6 - An infinite charged wire with charge per unit...Ch. 6 - Determine the electric flux through each surface...Ch. 6 - Find the electric flux through the closed surface...Ch. 6 - A point charge q is located at the center of a...Ch. 6 - A point charge of 10C is at an unspecified...Ch. 6 - A net flux of 1.0104 N ? m2/C passes inward...Ch. 6 - A charge q is placed at one of the comers of a...Ch. 6 - The electric flux through a cubical box 8.0 cm on...Ch. 6 - The electric flux through a spherical surface is...Ch. 6 - A cube whose sides are of length d is placed in a...Ch. 6 - Repeat the previous problem, assuming that the...Ch. 6 - A total charge 5.0106 C is distributed uniformly...Ch. 6 - Recall that in the example of a uniform charged...Ch. 6 - Suppose that the charge density of the spherical...Ch. 6 - A very long, thin wile has a uniform linear charge...Ch. 6 - A charge of 30C is distributed uniformly a...Ch. 6 - Repeat your calculations for the preceding...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - When a charge is placed on a metal sphere, it ends...Ch. 6 - A large sheet of charge has a uniform charge...Ch. 6 - Determine if approximate cylindrical symmetry...Ch. 6 - A long silver rod of radius 3 cm has a charge of...Ch. 6 - ne electric field at 2 cm from the center of long...Ch. 6 - A long copper cylindrical shell of inner radius 2...Ch. 6 - Charge is distributed uniformly with a density p...Ch. 6 - Charge is distributed throughout a very long...Ch. 6 - The electric field 10.0 cm from the surface of a...Ch. 6 - Charge is distributed throughout a spherical shell...Ch. 6 - Charge is distributed throughout a spherical...Ch. 6 - Consider a uranium nucleus to be sphere of radius...Ch. 6 - The volume charge density of a spherical charge...Ch. 6 - An uncharged conductor with an internal cavity is...Ch. 6 - An uncharged spherical conductor S of radius R has...Ch. 6 - A positive point charge is placed at the angle...Ch. 6 - A long cylinder of copper of radius 3 cm is...Ch. 6 - An aluminum spherical ball of radius 4 cm is...Ch. 6 - A long cylinder of aluminum of radius R meters is...Ch. 6 - At the surface of any conductor in electrostatic...Ch. 6 - Two parallel plates 10 cm on a side are given...Ch. 6 - Two parallel conducting plates, each of...Ch. 6 - The surface charge density on a long straight...Ch. 6 - A point charge q=5.01012 C is placed at the center...Ch. 6 - A solid cylindrical conductor of radius a is...Ch. 6 - A vector field E (not necessarily an electric...Ch. 6 - Repeat the preceding problem, with E=2xi+3x2k.Ch. 6 - A circular area S is concentric with the origin,...Ch. 6 - (a) Calculate the electric flux through the open...Ch. 6 - Suppose that the electric field of an isolated...Ch. 6 - The electric field in a region is given by...Ch. 6 - Two equal and opposite charges of magnitude Q are...Ch. 6 - A fellow student calculated the flux through the...Ch. 6 - A 10cm10cm piece of aluminum foil of 0.1 mm...Ch. 6 - Two 10cm10cm pieces of aluminum foil of thickness...Ch. 6 - Two large copper plates facing each other have...Ch. 6 - The infinite slab between the planes defined by...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - A non-conducting spherical shell of inner radius...Ch. 6 - Two non-conducting spheres of radii R1 and R2 are...Ch. 6 - A disk of radius R is cut in a non-conducting...Ch. 6 - Concentric conducting spherical shells carry...Ch. 6 - Shown below ale two concentric conducting...Ch. 6 - A point charge of q=5.0108 C is placed at the...Ch. 6 - Re-derive Gauss's law for the gravitational field,...Ch. 6 - An infinite plate sheet of charge of surface...Ch. 6 - A spherical lubber balloon carries a total charge...Ch. 6 - Find the electric field of a large conducting...
Additional Science Textbook Solutions
Find more solutions based on key concepts
(II) The summit of a mountain. 2450 m above base camp, is measured on a map to be 4580 m horizontally from the ...
Physics for Scientists and Engineers with Modern Physics
A piano tuner uses a 512-Hz tuning fork to tune a piano. He strikes the fork and hits a key on the piano and he...
University Physics Volume 1
At the aquarium where you work, a fish has gone missing in a 10-m-deep. 11-m-diameter cylindrical tank. You shi...
Essential University Physics: Volume 2 (3rd Edition)
The speed of the person sitting on the chair relative to the chair and relative to Earth.
Conceptual Physics (12th Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective
3. Waves in the Earth and the Ocean
In December 2004, a large earthquake off the coast of Indonesia produced a ...
College Physics: A Strategic Approach (3rd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Using Gauss law, derive an expression for the electric field within the sphere as a function of distance r from the centre (that is, for r < R).arrow_forwardTwo concentric spherical shells with radius “R1” and “R2” , charge quantity “Q1” and “Q2” respectively, find the distribution of electric field strength in space , and make the E-r relationship curve.arrow_forwardUse Gauss's Law to find the charge enclosed by the cube with vertices (+/-1, +/-1, +/-1) if the electric field is E(x, y, z) = xi + yj + zk.arrow_forward
- Gauss's Law problem: An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. Pick a shape for your Gaussian surface. Since you don't know the value (or expression) for E, you must pick a surface where the electric flux is either EA or zero. (E must be uniform over the surface for EA.)arrow_forwardA sphere of radius R has a charge distribution given by rho(r)=A√r where A is a constant. What is the divergence of the electric field at the point r=R/2? Hint: What is the differential form of Gauss’ law?arrow_forwardQ2: Answer only one (a) In Figure below, consider a plane surface in a uniform electric field, where d= 15 cm and 0-70°. Find the magnitude of the electric field if the net flux through the surface is 6 N. m/C, (b) In the same figure, find the electric flux through the plane surface if 0= 60°, E = 350 N/C, and d= 5 em. The electric field is uniform over the entire area of the surface.arrow_forward
- The electric field of a thin uniformly charged disk of radius 2.5 m very close to disk center is 263 N/C. The disk is centered on the xy plane. Calculate the magnitude of the electric field ( in N/C) on the z-axis at a distance 4 m from the center of the disk.arrow_forwardThe figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6 C/m^3. If the inner and outer radii of the sphere a = 10 cm and b = 20 cm, respectively, find the electric field strength E as a function of the distance from the center of the sphere's shell r, with r from zero to 30 cm.arrow_forwardFor which of the following charge distributions would Gauss's law not be useful for calculating the electric field? a uniformly charged sphere of radius R O b. an infinite planar sheet having constant surface charge density a cylinder of radius R and height h with charge uniformly distributed over its surface O d. an infinitely long cylinder of radius R with charge uniformly distributed over its surface O e. a spherical shell of radius R with charge uniformly distributed over its surface < o Oarrow_forward
- Q5/ A circular ring of radius a (meter) has a non-uniform line charge density pL = 2 cos Ø C/m on its perimeter. The ring is located at the z-0 plane, where its center is located at the origin. Find the electric field intensity at: a) The centre of the ring. b) The point (0,0,4).arrow_forwardQuestion 1: Gauss' Law: Electric field from surface charge For this problem assume constants are all in SI units that are not shown. An electric field given by E = (3z³+5)k. Calculate the flux through surface S, with side length a = 2, shown below if the surface is at the following heights: (a) z = 0 (b) z = -2 (c) z = 2 E 2.0 m 1.5 m a (d) The electric field in a region is given by E= a/(b + cx)î, where a = 500N m/C, b = 4.0m, and c 1.0. What is the net charge enclosed by the shaded volume shown below? 1.0 m a 425 yarrow_forwardConsider a line of charge that extends along the x axis from x = -4 m to x = +4 m. The line of charge has a constant linear charge density equal to 3.9 nC/m (note the nano). Calculate the magnitude of the electric field due to this charge at (0, 6 m), in N/C. Use k = 9 x 109 N m2 / C2. The resulting integral is solved with trigonometric substitution, so solve the integral using a computer if you don't know how to do this. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY