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 79AP
A fellow student calculated the flux through the square for the system in the preceding problem and got 0. What went wrong?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Find the flux of F=−zi+yj−xk out of a sphere of radius 4 centered at the origin. Hint: Your answer will involve π .
Suppose you initially have a bathtub full of water and then remove the drain plug to let it drain. If the vector field to be
studied is the flow velocity of the water in the bathtub, how should the divergence be before and after removing the drain
plug?
O to. before: zero; after: less than zero
O b. before: less than zero; after: greater than zero
O c. before: zero; after: greater than zero
a) Find the outward flux of the vector field F (x, y, z) = x³i + y³j+(z³ + xz)k across the surface of
the region that is enclosed by the hemisphere z = Ja² – x² – y² and the plane z = 0.
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
Societal Reaction. It is frequently said that the detection of a signal by SETI would revolutionize human socie...
Life in the Universe (4th Edition)
7. Block B in FIGURE EX7.7 rests on a surface for which the static and kinetic coefficients of friction are 0.6...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
26.15 In the circuit of Fig. E26.15, each resistor represents a light bulb. Let R1, = R2 = R3 = R4 = 4.50 ? and...
University Physics (14th Edition)
28. How does the V shape of a bow wave depend on the speed of the wave source?
Conceptual Physical Science (6th Edition)
A commonly used turn of mass in the English system Is the pound-mass, abbreviated Ibm, where 1 Ibm = 0.454 kg. ...
University Physics Volume 1
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th 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
- Given vec(F) = (:0, 0,x:), Radius outward(upward) flux across the upper half of the sphere. b. How will this value change if we calculate the outward(downward) flux across the lower half of the sphere? = 5 a. Calculate thearrow_forwardlet F be a vector field whose curl and divergence at the origin are curl(F)(0, 0, 0) = (2, – 1, 4) , div(F)(0, 0, 0) = -2 Estimate the flux of F through the box of side 0.5 in Figure . Does the result depend on how the box is oriented relative to the coordinate axes? 0.5 FIGUREarrow_forwardA circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate s E ndA for E=2z2i.arrow_forward
- A circular ring with a radius of 0.5 m lies horizontally on a surface (Figure 4). A uniform electric field of magnitude 1000 N/C is angled 40° from the horizontal. Calculate the flux through the ring.arrow_forwardCompute the flux of F through the cylindrical surface S centered on the z-axis, oriented away from the z-axis. F(x, y, z) = 3y7 + 2xzk S: radius 4. x ≥ 0, y ≥ 0,0 ≤ ≤ 2 Enter an exact answer. S . dA = i 640arrow_forwardFollowing the previous question, the x-component of the net electric field at x = -1.00 m, Enet.x , is N/C. Use normal format and 3 significant figures.arrow_forward
- Let C be the unit circle oriented in the counterclockwise direction. Calculate the outward flux of F(x, y) = (x³ + sin(y), y + cos (x²)) across C. Answer: Σarrow_forwardFlux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) shows a cross section. Figure (b) gives the net flux O through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by D = 5.5 x 105 N-m2/C. (a) What is the charge of the central particle? What are the net charges of (b) shell A and (c) shell B? B (a) (b) (a) Number i Units (b) Number i Units (c) Number i Units O (10° N • m²/C)arrow_forwardWhich statement is correct? The flux through a closed surface is always positive. The flux through a closed surface is always negative. The sign of the flux through a closed surface depends on an arbitrary choice of sign for the surface vector. Inward flux through a closed surface is negative and outward flux is positive. Inward flux through a closed surface is positive and outward flux is negative. O o oarrow_forward
- (b) Let F = al + bị - ck where a, b, and c are positive constants. Find the flux of F through a square of side 5 units lying on the plane z = x + y oriented in the positive y direction.arrow_forwardWhat is the net outward flux of the radial field F = ⟨x, y, z⟩across the sphere of radius 2 centered at the origin?arrow_forwardA cube that has a side s is in a region of uniform electric field E. Find the electric flux through each face of the cube and the total flux passing through the cube when two of its face is perpendicular to E.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY