An electric field given by E= 8.6i - 7.8(y2 +8.1) pierces the Gaussian cube of edge length 0.950 figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the electric flux through the (a) top face, (b) bottom face, (c) left face, and (d) back face? (e) What is the net electric flux through the cube? %3D and positioned as shown in the Gaussian surface (a) Number -63.4 Units N-m^2/C (b) Number 57 Units N-m^2/C (c) Number i Units N-m^2/C (d) Number i Units (e) Number i Units

An electric field given by E= 8.6i - 7.8(y2 +8.1) pierces the Gaussian cube of edge length 0.950 figure. (The magnitude E is in newtons per coulomb and the position x is in meters.) What is the electric flux through the (a) top face, (b) bottom face, (c) left face, and (d) back face? (e) What is the net electric flux through the cube? %3D and positioned as shown in the Gaussian surface (a) Number -63.4 Units N-m^2/C (b) Number 57 Units N-m^2/C (c) Number i Units N-m^2/C (d) Number i Units (e) Number i Units

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.63CP: A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure...

See similar textbooks

Similar questions

The cube in the figure has edge length 1.87 m and is oriented as shown in a region of uniform electric field. Find the electric flux through the right face if the electric field (a) is in the positive x direction and has magnitude 8.81 N/C, (b) is in the negative y direction and has magnitude 2.22 N/C, and (c) is in the xz plane, has x component -2.75 N/C, and has z component 4.53 N/C. (d) What is the total flux through the cube's surface for each field?
A flat sheet of paper is cut into an equilateral hexagon that is oriented so that the normal to the sheet is at an angle of 60 degrees to a uniform electric field of magnitude 14 MN/C. If the length of the line formed by joining the first and the fourth vertex is 200 mm, find the magnitude of the electric flux through the sheet.
A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 38.0 N/C and E2 = 20.1 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale. N · m2/C
A uniformly charged, straight filament 8.00 m in length has a total positive charge of 2.00 µC. An uncharged cardboard cylinder 4.70 cm in length and 10.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. (a) Using reasonable approximations, find the electric field at the surface of the cylinder. magnitude: ____________ kN/C direction: radially outward or radially inward? (b) Using reasonable approximations, find the total electric flux through the cylinder.
Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): a. A constant electric field of magnitude 300 N/C at a 30 degrees angle with respect to the flat rectangular surface shown in the Figure above. b. A uniform electric field E = (70 i + 90 k) N/C through a 4 cm ×5 cm in the x-y plane. c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.
An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the -field at surface of the sphere? (Example: If your answer is 3.4x106N/C, enter 3.4 in the answer box).
An insulating solid sphere of radius R = 6.0cm has a total positive charge Q uniformly distributed throughout its volume. The electric flux through a spherical Gaussian surface of radius r = 3.0cm is 2.26x105N.m2/C. How much charge (in units of μC) is enclosed by the Gaussian surface of radius r =3.0cm? What is the magnitude ( in units of 106N/C) of the E-field at the Gaussian surface of part (1)? What is the magnitude (in units of 106N/C) of the E-field at surface of the sphere?
A square sheet with sides 1.57 meters long is held in a uniform electric field of magnitude 1.1 x 10^4 {N/C}. The sheet is oriented at an angle of 60° to the electric field direction (that is, the surface normal vector for the flat slide of the sheet makes a 60° angle relative to the electric field vector). What is the electric flux through the sheet ?
A particle with charge Q is located a small distance immediately above the center of the flat face of a hemisphere of radius R as shown in Figure P19.38. What is the electric flux (a) through the curved surface and (b) through the flat face as 0?
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.
Two infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .
Examine the summary on page 780. Why are conductors and charged sources with linear symmetry, spherical symmetry, and planar symmetry categorized as special cases rather than major concepts or underlying principles?