Answered: z4 k across the surface S the upper…

z4 k across the surface S the upper hemisphere of x 2 + y 2 +z2 = 9 in the outward direction Find the flux of the vector field F = 9 O 9 IT

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 75AP: (a) Calculate the electric flux through the open hemispherical surface due to the electric field E...

See similar textbooks

Related questions

Q: Refer to the figure shown. Find the net electric flux of S2 the enclosed charges through the…

A: Given values: Charges enclosed by S2, qs2=+3 μC,-2μC Charges enclosed by S1, qs1=+3 μC,-2μC,+2μC…

Q: A long thin conducting wire that carries a uniform linear charge density A-41.8 nC/m passes through…

A: Data provided: Linear charge density (λ) = 41.8 nC/m Length of cylindrical surface (L) = 0.19 m…

Q: Refer to the figure shown. Find the net electric flux of the enclosed charges through all five (5)…

A: The net electric flux through a surface is given by the formula, ϕ=qencε0 where qenc is the sum of…

Q: Find the flux of the vector field F = (y, – z, x) across the part of the plane z = 1+ 3x + 2y above…

Q: Consider a spherical insulator of radius 2R that has uniform charge distribution. Find the flux…

A: Change density of sphere,ρ=Charge Volume As per given data,ρ=8Q4π(2R)33

Q: A circular plane, with a radius of 2.2 meters, is immersed in an E-field with a magnitude of 700…

A: Given data: Radius (r) = 2.2 m Electric field (E) = 700 N/C Angle with plane = 20° Required: The…

Q: Find the net electric flux through each of the following closed surfaces: 1. G1 2. R2 3. Аз 4. Сд 5.…

Q: Find the electric flux (in N· m²/C) through the closed surface whose cross-sections are shown below.…

A: Given data as per question q=2.9×10−8C

Q: A rectangular sheet with length 5.00 m and width 3.00 m is immersed in a uniform electric field with…

Q: Question 7 This question concerns the vector field F = -ry'i- r'yj+ 2(x² + y³) k. (a) Calculate the…

Q: Determine whether the electric field E xyi + y'j is conservative or not %3D

Q: A hemispherical surface with radius r = 12 cm in a region of uniform electric field E = 10 V/m has…

Q: Čalculate the electric flux for each of the following sets of variables. E = 7.6 x 10'3 N/C E = 8.2…

A: (a) Find the electric flux. ϕE=EAcosθ=7.6×1013 N/C4.4×10-6 m2cos0°=3.34×108 N·m2/C (b) Find the…

Q: Q1. "A Gaussian surface has zero net flux," a tutor at a review session says. "Therefore, there are…

A: NOTE: We are supposed to answer only one question. Kindly repost the other question as to the next…

Q: The total flux through the Gaussian sphere indicated with the dashed line is $ = qleo- The solid…

A: In this question we have to determine the magnitude of Charge in cavity B. Note: Due to company…

Q: The net flux of the vector field A 3pp through the closed surface defined by p= 3,0 < z< 5,0 < p<…

Q: Find the net outward flux of the field F = (7y- z,z,7y - 5x) across the sphere of radius 6 centered…

Q: 1. A proton is enclosed by a closed Gaussian surface. Find the magnitude of the electric flux…

A: The electric field at a region is defined as the electric force experienced per unit charge at that…

Q: Consider the field F(x,y,z)=2y j and the sphere centered at the origin of radius a. We can conclude…

A: This problem can be easily solved by using the law of Gauss's divergence theorem. Which state that…

Q: В. A. 100 N/C Which surface, A or B, has the larger electric flux? O Surface A has more flux. O…

A: This question is based on Electric fields and charges topic. We need to know about Electric Flux and…

Q: 6. -b what is the Flux of electric field through this plane surface. 0/2 6/2 א

A: The electric flux (ϕ) through a surface is defined as the number of electric field lines crossing…

Q: A flat sheet of paper with dimensions 50 m x 60 m is oriented so that the normal to the sheet is at…

A: If the area of the sheet of paper is A and electric field of magnitude E applied at an angle of…

Q: . A hemispherical surface with radius r= 12 cm in a region of uniform electric field E = 10 V/m has…

A: Electric flux is the number of net electric lines through surface area. Electric flux = E̅•A̅

Q: Find the electric flux ( in units of N.m2/C) through the surface of the rectangle ( 30 cm x 40 cm)…

A: Given- Electric field E=277.9 N/CArea A=30 cm×40 cm=.3×.4=0.12 m2

Q: A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 6.25 μC/m2 as…

A: A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 6.25μC/m2.Part…

Q: A cube of side L = 2.2 m lies in a region where the electric field is given by 3.G take → 3.6 en…

Q: A conductive spherical shell with inner radius a and outer radius b has a point charge Q in its…

Q: Find the net flux o passing through the following Gaussian surface S. -4µc - 6µC 4μC 5με 9µC

A: Introduction: According to Gauss's law, the total electric flux of a hypothetical Gauss's closed…

Q: ZA a y a A vector field È is given by E = 4y3Î+2xR. Calculate the flux through surface S shown…

Q: Let F(r, y, 2) = 3z7- 2y 3 – (x + y) E. For each of the surfaces in Parts (a)-(d), say whether the…

A: Hi. Since you have posted a question with multiple subparts and not specified which subparts you…

Q: H.W A 4*10 N/C electric field is applied along the x axis. Find the electric flux through a…

Q: In a region of space, there is an electric field E ⃗ E→ that is in the z-direction and that has…

A: It is given that

Q: Find the flux of the vector field F = k through the upper half of the sphere r? + y² + z2 = 4. 4pi…

A: Sphere : x2 + y2 +z2 =4 Radius = 40.5 = 2 units

Q: A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom…

A: We know electric field lines are outward from a positive charge and inward for a negative charge. If…

Q: Plot a graph of the electric field as a function of distance r from the centre of the sphere, and…

Q: Let C be the unit circle oriented in the counterclockwise direction. Calculate the outward flux of…

A: Given- F(x,y)=<x3+siny,y3+cosx2>

Q: A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is…

Q: Which describes the flux of an electric field that is tangent to a section on a closed surface? O…

A: the flux of an electric field that is tangent to a section on a closed surface is zero. Flux is…

Q: Consider the system below. A rectangular surface of dimensions 12 cm by 17 cm is exposed to a field…

A: solution: given that E = 500 N/C S = 12 cm x 17 cm angle = 30 degrees

Q: A 4.0 cm^2 in the x-y plane sits in a uniform electric field E = (2.0 i + 3.0 j + 5.0 k) N/C. Find…

A: The electric field is given as E→=2.0i^+3.0j^+5.0k^N/C The area is 4.0 cm2. The electric flux is…

Q: The electric flux that results from an electric field E normal to the square plate which has (L) m…

A: Electric field = ESide of square plate = L Direction fo electric field = normal to the square plate…

Q: A vector field is given by F = y'e*i - x*yj - xtan-'yk use the divergence (Gauss") theorem, to…

A: Given:- F→ = y3ezi^ -x2y j^ -xtan-1y k^

Q: surface 2 surface 2 surface 3 surface 3 Part B E field What is the electric flux P1 through surface…

A: The electric flux passing through the given surface is define as the number of electric field line…

Q: the electric field is not collinear with the normal unit vector of the surface, which of the…

A: Gauss Law states that the total electric flux: ϕ =∫E.→dA→=E.→A →=EAcosθ here…

Q: Given a vector field D = 2xy² ax + x² av and the rectangular parallel pipe formed by the planes x =…

A: Given: The vector field , Here , x , y, z are the planes of a rectangular parallel pipe. The flux…

Q: Four small spheres shown in the figure below have charges of q1 = -3.00 nC, q2 = 2.40 nC, q3 = 5.30…

A: Given problem is based on the Gauss’s law in electrostatics. It states that, “The net electric flux…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

100%

z2
k across the surface S the upper hemisphere of x 2 + y2 + z2 = 9 in the outward direction
Find the flux of the vector field F =
O 9
TT
TT
O O

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

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

A cubical gaussian surface is bisected by a large sheet of charge, parallel to its top and bottom faces. No other charges are nearby. (i) Over how many of the cubes faces is the electric field zero? (a) 0 (b) 2 (c) 4 (d) 6 (ii) Through how many of the cubes faces is the electric flux zero? Choose from the same possibilities as in part (i).
Four closed surfaces, S1 through S4, together with the charges 2Q, Q, and Q. are sketched in Figure P15.47. (The colored lines are the intersections of the surfaces with the page.) Find the electric flux through each surface. Figure P15.47
Suppose the electric field of Quick Quiz 15.7 is tilted 60 away from the positive z-direction. Calculate the magnitude of the flux through the same area. (a) 0 (b) 10.0 N m2/C (c) 20.0 N m2/C (d) More information is needed
A long cylinder of copper of radius 3 cm is charged so that it has a uniform charge per unit length on its surface of 3 C/m. (a) Find the electric field inside and outside the cylinder. (b) Draw electric field lines in a plane perpendicular to the rod.
A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?
Consider a ring of radius R with the total charge Q spread uniformly over its perimeter. What is the potential difference between the point at the center of the ring and a point on its axis a distance 2R from the center?
Find the electric flux through the surface in Figure 15.28. Assume all charges in the shaded area are inside the surface. (a) (3 C)/0 (b) (3 C)/0 (c) 0 (d) (6C)/0
Four closed surfaces, S1 through S4, together with the charges 2Q, Q, and Q. are sketched in Figure P15.47. (The colored lines are the intersections of the surfaces with the page.) Find the electric flux through each surface. Figure P15.47
(a) Calculate the electric flux through the open hemispherical surface due to the electric field E =E0k (see below). (b) If the hemisphere is rotated by 90( around the what is the flux through it?
(a) If the electric flux through a closed surface is zero, is the electric field necessarily zero at all points on the surface? (b) What is the net charge inside the surface?
Find the net electric flux (N · m2/C) through the spherical closed surface shown in the figure below. The two charges on the right are inside the spherical surface. Take q1 = +1.96 nC, q2 = +1.04 nC, and q3 = -3.24 nC.)
An electric field given by E = 5x i - 7y j pierces through a cubic Gaussian surface of edge length 2.0 m and positioned as shown in the figure ( E is in N/C and the position x, y are in meters). Calculate the electric flux of through the top face ( in N.m2/C)